Question

Solve the inequaility - x/4 <2

Answer 1

❄ Hi there,

let us start by considering this: What should we do to get x all by itself?

Since it's

• divided by 4
• multiplied by -1

we should

• multiply (both sides) by 4
• divide (both sides) by -1

So, let's start.

$\sf{\dfrac{-x}{4}\times4 < 2\times4}}$

$\sf{-x < -8}$

$\sf{x > 8}$

When we divide both sides of an inequality by a negative number, we do "the inequality flip" and flip the inequality sign.

❄