Solutions to Inequalities in One Variable

Question

Which graph correctly shows the solution to the inequality ? Show or explain your reasoning.

A

B

C

D

Answer 1

Solving the inequality we obtain 7x-3>=72-18x which is the same as 25x>=75 or x>=75/25=3. Hence, the correct graph is C.

Answer 2

Simplify:

7x - 3 ≥ (8 - 2x) * 9

7x - 3 ≥ 72 - 18x

7x + 18x ≥ 72 + 3

25x ≥ 75

x ≥ 75 / 25

x ≥ 3

Graph C shows all values that are greater than or equal to 3.