In the algebraic inequality x3-2-2- the value of unknown is

Given algebraic inequality : x3 2 gt;2 Step 1: nbsp;Add 2 on both sides of the inequality ⇒x3 2+2 gt;2+2 ⇒x3 gt;4 Step 2: nbsp;Multiply both sides of ...

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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 $\frac{x}{3} - 2 > 2$ , the value of unknown is

\leq 12

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\geq - 12

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> 12

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Solution

The correct option is C $> 12$
Given algebraic inequality : $\frac{x}{3} - 2 > 2$
Step 1: Add $2$ on both sides of the inequality
$\Rightarrow \frac{x}{3} - 2 + 2 > 2 + 2 \Rightarrow \frac{x}{3} > 4$

Step 2: Multiply both sides of inequality by $3$
$\Rightarrow 3 \times \frac{x}{3} > 3 \times 4 \Rightarrow x > 12$

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In the algebraic inequality x3−2>2, the value of unknown is

The correct option is C >12Given algebraic inequality : x3−2>2 Step 1: Add 2 on both sides of the inequality ⇒x3−2+2>2+2⇒x3>4 Step 2: Multiply both sides of inequality by 3 ⇒3×x3>3×4⇒x>12

In the algebraic inequality $\frac{x}{3} - 2 > 2$ , the value of unknown is