Question

Jen says that the solutions of the inequality -2(3 – x) > 2x – 6 are all real numbers. Do you agree with your friend? Explain. What if the inequality symbol were ≥?

Answer 1

I disagree

'No it won;t

Explanation:

Given the inequality functions;

-2(3 – x) > 2x – 6

Open the parenthesis

-2(3) -2(-x) > 2x - 6

-6 + 2x > 2x - 6

Collect like terms

2x-2x > -6 + 6

0x > 0

x > 0/0

The value of x does not exist on any real number. I disagree with my friend since the value of x is an indeterminate function. If the inequality were ≥, it won't change anything as the value of x won't still exist on any real number