Question

Is g = 4 a solution to the inequality below? 8 − g > 4

Answer 1

No

Explanation:

If you input g = 4 into the inequality, you have

8 - 4 > 4

4 > 4

4 is NOT greater than 4

To be correct, the inequality would have to read:

8 - g ≥ 4

This would be correct because now it reads

4 ≥ 4

4 is greater than OR equal to four

Answer 2

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.