Question

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.

Answer 1

They did not flip the inequality

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