Question

|2x−10|>0 what is the value of x

Answer 1

x< 5 or x>5

Explanation:

With absolute value inequalities we have two solutions, one positive and one negative. Remember when we take the negative, we flip the inequality

2x-10 > 0 or 2x-10 < -0

Add 10 to each side

2x-10+10 > 0+10 2x-10 + 10 < 0 + 10

2x > 10 2x < 10

Divide by 2

2x/2 >10/2 2x/2 < 10/2

x >5 x < 5

x< 5 or x>5