Which of the following number lines illustrates the solution of (2x - 9) ≥ 2(2x + 1)?
Solve the inequality.
(2x - 9) ≥ 2(2x + 1)
Get rid of th fraction by multiplying both sides of the equation by the denominator, 3
3 x (2x - 9) ≥ 3 x 2(2x + 1)
1 x (2x - 9) ≥ 6(2x + 1)
2x - 9 ≥ 12x + 6
2x - 12x ≥ 6 + 9
-10x ≥ 15
Divide both sides by -10. When dividing by a negative, the inequality sign changes.
x ≤
x ≤ -1.5
Notes:
1. -1.5 is between -1 and - 2
2. For ≥ and ≤, the solid is shaded
3. For ≤, the arrow is to the left just as the direction of the sign and for ≥, the arrow is to the right
