Question

What is the value of x in the linear inequality ? -3(4x-8.2)<-11.98x+14 3/4

Answer 1

Solving the inequality $-3(4x-8.2)$ we get value of x: $x>492.5$

Step-by-step explanation:

We need to solve the inequality $-3(4x-8.2)$ and find value of x.

Solving:

$-3(4x-8.2)$

Multiplying -3 with the terms inside the bracket

$-12x+24.6$

Converting mixed fraction into improper fraction:

$-12x+24.6$

Adding 11.98x on both sides

$-12x+24.6+11.98x$

Subtracting 24.6 on both sides:

$-0.02x+24.6-24.6$

Divide both sides by -0.02 and reverse the inequality i.e < sign is changed to > due to division of (-) sign.

$\frac{-0.02x}{-0.02}492.5$

So, solving the inequality $-3(4x-8.2)$ we get value of x: $x>492.5$

Keywords: Solving Inequality

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