Question

Solve 8n + 20 < 6n + 24

possible answers:

n > 2
n > -2
n < -2
n < 2

Answer 1

n < 2

Explanation:

This inequality can be solved the same way the corresponding 3-step linear equation would be solved.

8n +20 < 6n +24 . . . . . given

2n +20 < 24 . . . . . . . . step 1, subtract 6n to isolate the variable on the left

2n < 4 . . . . . . . . . . . . step 2, subtract 20 to separate constants and variable terms

n < 2 . . . . . . . . . . . divide by the coefficient of the variable