True False[1 Marks ]

Question 11 Mark

If x < y and b < 0, then $\frac{\text{x}}{\text{b}}<\frac{\text{y}}{\text{b}}.$

Answer

False.
Solution:
$\Rightarrow\frac{\text{x}}{\text{b}}>\frac{\text{y}}{\text{b}}$
Hence, statement is False.

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Question 21 Mark

Graph of $\text{x}\geq3$ is:

Answer

False.
Solution:
The given graph represent $\text{x}\geq3$
Hence, the statement is False.

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Question 31 Mark

If xy > 0, then x < 0 and y < 0.

Answer

True.
Solution:
If xy > 0 then x < 0 and y < 0
Hence, the statement is True.

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Question 41 Mark

If xy < 0, then x > 0 and y < 0.

Answer

False.
Solution:
If x, y > 0 then x > 0, y > 0 or x < 0, y < 0.
Hence, statement is False.

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Question 51 Mark

If $|\text{x}|\leq4$ then $\text{x}\in[-4, 4].$

Answer

True.
Solution:
If $|\text{x}|\leq4$ then $-4\leq\text{x}\leq4$
$\Rightarrow\text{x}\in[-4, 4]$
Hence, the statement is True.

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Question 61 Mark

If xy < 0, then x < 0 and y < 0.

Answer

False.
Solution:
If xy > 0
⇒ x < 0 and y > 0 or x < 0 and y < 0
Hence, the statement is False.

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Question 71 Mark

If x > –2 and x < 9, then $\text{x}\in(-2, 9).$

Answer

True.
Solution:
If xy < - 2 and x > 9, then x have no value.
Hence, the statement is True.

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Question 81 Mark

If |x| > 5, then $\text{x}\in(-\infty, -5)\cup(5, \infty).$

Answer

False.
Solution:
If |x| > 5 then, x < -5 or x > 5
$\Rightarrow\text{x}\in(-\infty, -5)\cup(5, \infty)$
Hence, the statement is False.

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Question 91 Mark

Solution set $\text{x}\geq0$ and $\text{y}\leq1$ is:

Answer

False.
Solution:
Solution Set of $\text{x}\geq0$ and $\text{y}\leq1$ is

Hence, the statement is False.

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Question 101 Mark

Solution set of $\text{x}\geq0$ and $\text{y}\leq0.$

Answer

False.
Solution:
Set of $\text{x}\geq0$ and $\text{x}\leq0$ is
Hence, the statement is False.

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Question 111 Mark

Graph of $\text{y}\geq0$ is:

Answer

False.
Solution:
The given graph represent $\text{y}\geq0$
Hence, the statement is False.

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Question 121 Mark

Solution Set of $\text{x}+\text{y}\geq0.$

Answer

True.
Solution:
The given graph represents $\text{x}+\text{y}\geq0$
Hence, the statement is True.

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Question 131 Mark

If x < –5 and x > 2, then $\text{x}\in(-5, 2).$

Answer

False.
Solution:
If xy < - 5 and x > 2, then x have no value.
Hence, the statement is False.

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Question 141 Mark

Graph of $\text{x}\geq0$ is:

Answer

True.
Solution:
The given graph represent $\text{x}\geq0$
Hence, the statement is True.

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Question 151 Mark

If x < -5 and x > -2, then $\text{x}\in(-\infty,-5).$

Answer

False.
Solution:
If xy < -5 and x > 2, then x have no value.
Hence, the statement is False.

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MATHS True False[1 Marks ]

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