Question

Solve for x: 3-2(2x-5)<-4(x+2)

Answer 1

no solution

Explanation:

to solve this we should first distribute

3 - 4x + 10 < -4x - 2 (fyi you need to multiply the negatives into the parenthesis)

and then you combine like terms

13 < -2

because 13 is always greater than -2, this statement will never be true

Answer 2

• x ∈ ∅

Explanation:

• 3 - 2(2x - 5) < - 4(x + 2)
• 3 - 4x + 10 < -4x - 8
• 13 - 4x < -4x - 8
• 13 < - 8

This inequality is false hence no solution