Jill solved the inequality - x/4 < (x+2) / 3 Her solution is shown: Step 1 : - 3x<4x+8 Step 2: - 3x-4x <8 Step 3: - 7x<8 Step 4: x< - 8/7 Explain the mistake Jill made while solving for x.

Question

Mathematics

Leah

25 September, 06:24

Jill solved the inequality - x/4 < (x+2) / 3 Her solution is shown: Step 1 : - 3x<4x+8 Step 2: - 3x-4x <8 Step 3: - 7x<8 Step 4: x< - 8/7 Explain the mistake Jill made while solving for x.

+1

Answers (1)

Know the Answer?

Esparza · Answer 1

They did not flip the inequality

Step-by-step explanation:

-x/4 < (x+2) / 3

Multiply each side by 3

-3x<4x+8

Subtract 4x from each side

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

-3x-4x<8

Combine like terms

-7x<8

Divide by - 7. Remember to flip the inequality

-7x/-7 > 8/-7

x > - 8/7