True False[1 Marks ]

Question 11 Mark

State which of the following statements is True or False.
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 21 Mark

State which of the following statements is True or False.
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 31 Mark

State which of the following statements is True or False.
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 41 Mark

State which of the following statements is True or False.
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 51 Mark

State which of the following statements is True or False.
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 61 Mark

State which of the following statements is True or False.
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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Question 71 Mark

State which of the following statements is True or False.
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 81 Mark

State which of the following statements is True or False.
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 91 Mark

State which of the following statements is True or False.
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 101 Mark

State which of the following statements is True or False.
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 111 Mark

State which of the following statements is True or False.
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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Maths True False[1 Marks ]

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