Question

Solve this inequality: 4.2x + 5.6 < 7.2 – 8.3x

Step 1: Isolate the constant term on the left side of the
inequality by (
both sides of
the inequality.

Answer 1

subtracting 4.2x, subtracting 7.2, dividing by –12.5, x < 0.128.

Solution:

Given inequality:

4.2 x + 5.6 < 7.2 – 8.3 x

To solve this inequality:

Step 1:

Isolate the constant term on the left side of the inequality by subtracting 4.2x from both sides of the inequality.

4.2 x + 5.6 – 4.2 x < 7.2 – 8.3 x – 4.2 x

5.6 < 7.2 – 12.5 x

Step 2:

Isolate the variable term on the right side of the inequality by subtracting 7.2 from both sides of the inequality.

5.6 – 7.2 < 7.2 – 12.5 x – 7.2

–1.6 < – 12.5 x

Step 3:

Create a variable coefficient of 1 by dividing by –12.5 on both sides of the inequality.

0.128 > x

Step 4:

The solution set is x < 0.128.

Answer 2

subtracting 4.2x, subtracting 7.2, dividing by –12.5, x < 0.128.

Solution:

Given inequality:

4.2 x + 5.6 < 7.2 – 8.3 x

To solve this inequality:

Step 1:

Isolate the constant term on the left side of the inequality by subtracting 4.2x from both sides of the inequality.

4.2 x + 5.6 – 4.2 x < 7.2 – 8.3 x – 4.2 x

5.6 < 7.2 – 12.5 x

Step 2:

Isolate the variable term on the right side of the inequality by subtracting 7.2 from both sides of the inequality.

5.6 – 7.2 < 7.2 – 12.5 x – 7.2

–1.6 < – 12.5 x

Step 3:

Create a variable coefficient of 1 by dividing by –12.5 on both sides of the inequality.

`$(-1.6)/(-12.5) <(-12.5)/(-12.5)x`

0.128 > x

Step 4:

The solution set is x < 0.128.