If x < 5, then.
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$-\text{x} < – 5 $
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$-\text{x}\leq-5$
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$-\text{x} > – 5 $
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$-\text{x}\leq-5$
Question types
Linear Inequalities question types
52 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
52
Questions
6
Question groups
5
Question types
01
M.C.Q (1 Marks)
11 Q→02True False[1 Marks ]
15 Q→03Fill In The Blanks[1 Marks ]
8 Q→042 Marks Questions
4 Q→053 Marks Question
6 Q→065 Marks Questions
8 Q→Sample Questions
Linear Inequalities questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
If $|\text{x}+2|\leq9,$ then:
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$\text{x}\in(-7,11)$
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$\text{x}\in[-11, 7]$
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$\text{x}\in[-\infty,-7)\cup(11,\infty) $
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$\text{x}\in(-\infty,-7)\cup[11,\infty) $
If – 3x + 17 < – 13, then:
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$\text{x}\in(10, \infty)$
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$\text{x}\in[10, \infty)$
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$\text{x}\in(-\infty\text{j},10]$
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$\text{x}\in[-10, 10)$
Given that x, y and b are real numbers and x < y, b < 0, then:
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$\frac{\text{x}}{\text{b}}<\frac{\text{y}}{\text{b}}$
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$\frac{\text{x}}{\text{b}}\leq\frac{\text{y}}{\text{b}}$
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$\frac{\text{x}}{\text{b}}>\frac{\text{y}}{\text{b}}$
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$\frac{\text{x}}{\text{b}}\geq\frac{\text{y}}{\text{b}}$
If x is a real number and |x| < 3, then:
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$\text{x}\geq3$
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$-3<\text{x}<3$
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$\text{x}\leq-3$
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$-3\leq\text{x}\leq3$
If x < y and b < 0, then $\frac{\text{x}}{\text{b}}<\frac{\text{y}}{\text{b}}.$
View full solution →Graph of $\text{x}\geq3$ is:
.PNG)
View full solution →If xy > 0, then x < 0 and y < 0.
If xy < 0, then x > 0 and y < 0.
If $|\text{x}|\leq4$ then $\text{x}\in[-4, 4].$
View full solution →If x > y and z > 0 then -xz ......-yz.
If $-\frac{3}{4}\text{x}\leq-3,$ then $\text{x}.......4.$
View full solution →If $-4\text{x}\geq12,$ then $\text{x}.......-3.$
View full solution →If $\frac{2}{\text{x}+2}>0,$ then $\text{x}.......2.$
View full solution →If p > 0 and q < 0 then p - q ......p.
A company manufactures cassettes. Its cost and revenue functions are C(x) = 26,000 + 30x and R(x) = 43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realise some profit?
Solve for x, the inequalities Exercises.
$|\text{x}-1|\leq5,\ |\text{x}|\geq2$
View full solution →$|\text{x}-1|\leq5,\ |\text{x}|\geq2$
Solve for x, the inequalities Exercises.
$\frac{4}{\text{x+1}}\leq3\leq\frac{6}{\text{x+1}}, (\text{x}>0)$
View full solution →$\frac{4}{\text{x+1}}\leq3\leq\frac{6}{\text{x+1}}, (\text{x}>0)$
Solve for x, the inequalities Exercises.
$4\text{x}+3\geq2\text{x}+17$
View full solution →$4\text{x}+3\geq2\text{x}+17$
A solution is to be kept between 40°C and 45°C. What is the range of temperature in degree fahrenheit, if the conversion formula is $\text{F}=\frac{9}{5}{^{\circ}\text{C}}+32^{\circ}.$
View full solution →Find the linear inequalities for which the shaded region in the given figure is the solution set.
Solve for x, the inequalities Exercises.
$\frac{|\text{x}-2|-1}{|\text{x}-2|-2}\leq0$
View full solution →$\frac{|\text{x}-2|-1}{|\text{x}-2|-2}\leq0$
The longest side of a triangle is twice the shortest side and the third side is 2cm longer than the shortest side. If the perimeter of the triangle is more than 166cm then find the minimum length of the shortest side.
In drilling world’s deepest hole it was found that the temperature T in degree celcius, x km below the earth’s surface was given by $\text{T}=30^\circ+25^\circ(\text{x}-3), 3\leq\text{x}\leq15$At what depth will the temperature be between 155°C and 205°C?
View full solution →Solve for x, the inequalities Exercises.
$\frac{1}{|\text{x}|-3}\leq\frac{1}{2}$
View full solution →$\frac{1}{|\text{x}|-3}\leq\frac{1}{2}$
The water acidity in a pool is considerd normal when the average pH reading of three daily measurements is between 8.2 and 8.5. If the first two pH readings are 8.48 and 8.35, find the range of pH value for the third reading that will result in the acidity level being normal.
Show that the solution set of the following system of linear inequalities is an unbounded region: 2x + y > 8, x + 2y > 10, x > 0, y > 0.
Solve the following system of linear inequalities: $3\text{x}+2\text{y}\geq24, 3\text{x}+\text{y}\leq15, \text{x}\geq4$
View full solution →Find the linear inequalities for which the shaded region in the given figure is the solution set.
Generate a Linear Inequalities paper free
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