In the algebraic inequality 8-5x-38- the value of unknown is greater than or equal to

Given algebraic inequality : 8 5x≤38 Step 1: nbsp;Subtract 8 from both sides ⇒ 8 5x 8≤38 8 ⇒ 5x≤30 Step 2: nbsp;Divide nbsp;both sides of algebraic ineq ...

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Standard VI

Mathematics

Solving Inequalities of the form: ax±b>c; ±b-ax≤c; ±a(bx±c)>d; ±a(bx±c)>d

In the algebr...

Question

In the algebraic inequality $8 - 5 x \leq 38$ , the value of unknown is greater than or equal to

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Solution

Given algebraic inequality : $8 - 5 x \leq 38$
Step 1: Subtract $8$ from both sides
$\Rightarrow 8 - 5 x - 8 \leq 38 - 8$
$\Rightarrow - 5 x \leq 30$

Step 2: Divide both sides
of algebraic inequality ( $- 5 x \leq 30$ ) by $- 5$

We know: On dividing or multiplying both sides of an algebraic inequality by a negative number, the inequality sign reverses.

$\Rightarrow \frac{- 5 x}{- 5} \geq \frac{30}{- 5} \Rightarrow x \geq - 6$

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In the algebraic inequality 8−5x≤38, the value of unknown is greater than or equal to

In the algebraic inequality $8 - 5 x \leq 38$ , the value of unknown is greater than or equal to