Solve : 9x - 7 5: 28 + 4x ; x W. - Vidyadip

Question

Solve : $9x - 7 \leq 5: 28 + 4x ; x \in W.$

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Answer

$9x – 1 \leq 28 + 4x\Rightarrow 9x – 4x – 7 \leq 28 + 4x – 4x ($Subtracting $4x)$
$\Rightarrow 5x – 7 \leq 28$
$\Rightarrow 5x – 7 + 7 \leq 28 + 7 ($Adding $7)$
$\Rightarrow 5x \leq 35$
$\Rightarrow x \leq 7 ($Dividing by $5)$
Required answer $= \{0, 1, 2, 3, 4, 5, 6, 7\}$

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