Question

Please help ASAP question 34 award is a brainlist

Answer 1

Answer:

1. x > -2

2. x < 3

Step-by-step explanation:

3x + 4 < 5x + 8

First subtract 5x from both sides of the inequality.

3x - 5x + 4 < 5x - 5x + 8

-2x + 4 < 8

Now subtract 4 from both sides to isolate x.

-2x + 4 - 4 < 8 - 4

-2x < 4

Divide both sides by -2. Since we're dividing by a negative number, the inequality sign must be flipped. Therefore our answer is:

$\frac{-2x}{-2}$ = $\frac{4}{-2}$

x > -2

4x - 8 < x + 1

Following the same pattern as before, we want to do the inverse (opposite) operations. So we would subtract x from both sides of the inequality.

4x - x - 8 < x - x + 1

3x - 8 < 1

Add 8 to both sides to cancel it out and isolate x.

3x - 8 + 8 < 1 + 8

3x < 9

Divide both sides by 3. The number being divided is positive, so there's no need to flip the sign here.

$\frac{3x}{3}$ = $\frac{9}{3}$

x < 3