Question 11 Mark
If xy > 0, then x < 0 and y < 0.
Answer
View full question & answer→True.
Solution:
If xy > 0 then x < 0 and y < 0
Hence, the statement is True.
Solution:
If xy > 0 then x < 0 and y < 0
Hence, the statement is True.
Questions
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15 questions · self-marked practice — reveal the answer and mark yourself.
Question 21 Mark
If x < –5 and x > 2, then $\text{x}\in(-5, 2).$
Answer
View full question & answer→False.
Solution:
If xy < - 5 and x > 2, then x have no value.
Hence, the statement is False.
Solution:
If xy < - 5 and x > 2, then x have no value.
Hence, the statement is False.
Question 31 Mark
If $|\text{x}|\leq4$ then $\text{x}\in[-4, 4].$
Answer
View full question & answer→True.
Solution:
If $|\text{x}|\leq4$ then $-4\leq\text{x}\leq4$
$\Rightarrow\text{x}\in[-4, 4]$
Hence, the statement is True.
Solution:
If $|\text{x}|\leq4$ then $-4\leq\text{x}\leq4$
$\Rightarrow\text{x}\in[-4, 4]$
Hence, the statement is True.
Question 41 Mark
Graph of $\text{x}\geq0$ is:
Answer
View full question & answer→True.
Solution:
The given graph represent $\text{x}\geq0$
Hence, the statement is True.
Solution:
The given graph represent $\text{x}\geq0$
Hence, the statement is True.
Question 51 Mark
If x < y and b < 0, then $\frac{\text{x}}{\text{b}}<\frac{\text{y}}{\text{b}}.$
Answer
View full question & answer→False.
Solution:
$\Rightarrow\frac{\text{x}}{\text{b}}>\frac{\text{y}}{\text{b}}$
Hence, statement is False.
Solution:
$\Rightarrow\frac{\text{x}}{\text{b}}>\frac{\text{y}}{\text{b}}$
Hence, statement is False.
Question 61 Mark
If xy < 0, then x > 0 and y < 0.
Answer
View full question & answer→False.
Solution:
If x, y > 0 then x > 0, y > 0 or x < 0, y < 0.
Hence, statement is False.
Solution:
If x, y > 0 then x > 0, y > 0 or x < 0, y < 0.
Hence, statement is False.
Question 71 Mark
If |x| > 5, then $\text{x}\in(-\infty, -5)\cup(5, \infty).$
Answer
View full question & 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.
Solution:
If |x| > 5 then, x < -5 or x > 5
$\Rightarrow\text{x}\in(-\infty, -5)\cup(5, \infty)$
Hence, the statement is False.
Question 81 Mark
Solution set $\text{x}\geq0$ and $\text{y}\leq1$ is:
Answer
View full question & answer→False.
Solution:
Solution Set of $\text{x}\geq0$ and $\text{y}\leq1$ is
Hence, the statement is False.
Solution:
Solution Set of $\text{x}\geq0$ and $\text{y}\leq1$ is
Hence, the statement is False.
Question 91 Mark
Solution set of $\text{x}\geq0$ and $\text{y}\leq0.$
Answer
View full question & answer→False.
Solution:
Set of $\text{x}\geq0$ and $\text{x}\leq0$ is
Hence, the statement is False.
Solution:
Set of $\text{x}\geq0$ and $\text{x}\leq0$ is
Hence, the statement is False.
Question 101 Mark
If x < -5 and x > -2, then $\text{x}\in(-\infty,-5).$
Answer
View full question & answer→False.
Solution:
If xy < -5 and x > 2, then x have no value.
Hence, the statement is False.
Solution:
If xy < -5 and x > 2, then x have no value.
Hence, the statement is False.
Question 111 Mark
Graph of $\text{y}\geq0$ is:
Answer
View full question & answer→False.
Solution:
The given graph represent $\text{y}\geq0$
Hence, the statement is False.
Solution:
The given graph represent $\text{y}\geq0$
Hence, the statement is False.
Question 121 Mark
If xy < 0, then x < 0 and y < 0.
Answer
View full question & answer→False.
Solution:
If xy > 0
⇒ x < 0 and y > 0 or x < 0 and y < 0
Hence, the statement is False.
Solution:
If xy > 0
⇒ x < 0 and y > 0 or x < 0 and y < 0
Hence, the statement is False.
Question 131 Mark
Solution Set of $\text{x}+\text{y}\geq0.$
Answer
View full question & answer→True.
Solution:
The given graph represents $\text{x}+\text{y}\geq0$
Hence, the statement is True.
Solution:
The given graph represents $\text{x}+\text{y}\geq0$
Hence, the statement is True.
Question 141 Mark
Graph of $\text{x}\geq3$ is:
Answer
View full question & answer→False.
Solution:
The given graph represent $\text{x}\geq3$
Hence, the statement is False.
Solution:
The given graph represent $\text{x}\geq3$
Hence, the statement is False.
Question 151 Mark
If x > –2 and x < 9, then $\text{x}\in(-2, 9).$
Answer
View full question & answer→True.
Solution:
If xy < - 2 and x > 9, then x have no value.
Hence, the statement is True.
Solution:
If xy < - 2 and x > 9, then x have no value.
Hence, the statement is True.