Question types

PART - 1 CH - 5 Linear Inequalities question types

29 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

29
Questions
5
Question groups
5
Question types
Sample Questions

PART - 1 CH - 5 Linear Inequalities questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

The solution of $\frac{x}{2}<\frac{5 x-2}{3}-\frac{7 x-3}{5}$ is :
  • A
    $\left(\infty, \frac{2}{7}\right)$
  • B
    $\left(-\infty, \frac{2}{7}\right)$
  • $\left(-\infty, \frac{-2}{7}\right)$
  • D
    $\left[\infty, \frac{2}{7}\right]$

Answer: C.

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The symbol of an inequality :
  • A
    Changes when we multiply both sides of the inequality by a positive number.
  • Changes when we multiply both sides of the inequality by a negative number.
  • C
    Nothing can be said for sure.
  • D
    None of these

Answer: B.

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The solution of inequality $25 x^2-4 \leq 0$ is :
  • $\left[-\frac{2}{5}, \frac{2}{5}\right]$
  • B
    $\left(-\frac{2}{5}, \frac{2}{5}\right)$
  • C
    $\left(-\frac{2}{5}, \infty\right)$
  • D
    None of the above

Answer: A.

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Part (a)Part (b)
1. If $\frac{2 x+4}{x-1} \geq 5$, then(a) $x \in(4, \infty)$
2. If $3 x-7>x+1$, then(b) $x \in\left(-\frac{1}{4}, \frac{5}{6}\right)$
3. If $\frac{5 x}{2}+\frac{3 x}{4} \geq \frac{39}{4}$, then(c) $x \in(-\infty,-5) \cup(5, \infty)$
4. If $\frac{6 x-5}{4 x+1}<0$, then(d) $x \in[3, \infty)$
5. If $\frac{x}{x-5}>\frac{1}{2}$, then(e) $x \in(1,3]$
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Part (a)Part (b)
1. If $|x+2| \leq 9$, then(a) $x \in(2,4) \cup(4,6)$
2. If $|x-1|>5$, then(b) $x \in(10, \infty)$
3. If $-3 x+17<-13$, then(c) $x \in[-11,7]$
4. If $\left|\frac{2}{x-4}\right|>1, x \neq 4$, then(d) $x \in(-\infty, 3.9) \cup(4, \infty)$
5. If $2(2 x+3)-10<$ $6(x-2)$, then(e) $x \in(-\infty,-4) \cup(6, \infty)$
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