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MATHS [2 Mark Question Answer]

Linear Inequations · ICSE STD 8 (ICSE - English Medium). 4 questions.

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4 questions · timed · auto-graded

Question 12 Marks
Solve : $- 17 < 9y - 8; y \in Z.$
Answer
$-17 < 9y – 8\Rightarrow -17 + 8 < 9y – 8 + 8\ ($Adding $8)$
$\Rightarrow -9 < 9y$
$\Rightarrow -1 < y \ ($Dividing by $9)$
Required number $= {0, 1, 2, 3, 4, …}$
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Question 22 Marks
If the replacement set$ = {- 6,. - 3, 0, 3, 6, 9}\ ;$  find the truth set of the following $: 3x + 7 < 1$
Answer
$3x + 7 \leq 1$
$\Rightarrow  3x + 7 – 7 \leq 1 – 7 ($Subtracting $7)$
$\Rightarrow 3x \leq – 6$
$\Rightarrow x \leq – 2$
Required Answer$ = \{-6, -3\}$
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Question 32 Marks
If the replacement set is the set of natural numbers, solve $: x + 1 ≤ 0$
Answer
$x + 1 ≤ 7$
$⇒x + 1 – 1 ≤ 7 – 1 ($Subtracting $1)$
$⇒ x ≤ 6$
Required answer $= \{1, 2, 3, 4, 5, 6\}$
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Question 42 Marks
If the replacement set is the set of natural numbers, solve $: x - 5 < 0$
Answer
$x – 5 < 0 , x – 5 + 5 <0 + 5 ………($Adding $5)$
$=> x < 5$
Required answer $= \{1, 2, 3, 4\}$
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