If 4x - 8 - 12- then the maximum value of x is -

4x – 8 ≤ 12 ⇒ nbsp;4x 8 + 8 ≤ 12 + 8, [Adding 8 on both sides of the inequation] ⇒ nbsp; 4x ≤ 20 ⇒ x ≤ 5 Therefore, required solution: x ≤ 5 So, Maximum v ...

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Standard X

Mathematics

Types of Inequalities

If 4x – 8 ≤ 1...

Question

If 4x – 8 $\leq$ 12, then the maximum value of x is ________.

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Solution

4x – 8 $\leq$ 12
$\Rightarrow 4 x - 8 + 8 \leq 12 + 8,$ [Adding 8 on both sides of the inequation]
$\Rightarrow 4 x \leq 20$
$\Rightarrow x \leq 5$
Therefore, required solution: x $\leq$ 5
So, Maximum value of x is 5.

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If 4x – 8 ≤ 12, then the maximum value of x is ________.

4x – 8 ≤ 12 ⇒4x−8+8≤12+8, [Adding 8 on both sides of the inequation] ⇒4x≤20 ⇒x≤5 Therefore, required solution: x ≤ 5 So, Maximum value of x is 5.

If 4x – 8 $\leq$ 12, then the maximum value of x is ________.

4x – 8 $\leq$ 12
$\Rightarrow 4 x - 8 + 8 \leq 12 + 8,$ [Adding 8 on both sides of the inequation]
$\Rightarrow 4 x \leq 20$
$\Rightarrow x \leq 5$
Therefore, required solution: x $\leq$ 5
So, Maximum value of x is 5.