Answer:
Explanation:
Compound inequality has been given as,
12(2x - 10) + 24 ≥ 48 Or 6x + 15 - 9x ≥ 6
By simplifying it further,
12(2x - 10) + 24 ≥ 48
![(12(2x - 10))/(12)+(24)/(12)\geq (48)/(12)](https://img.qammunity.org/2021/formulas/mathematics/college/mnsxv1ipmxwnwe5kp27qs0eld9c59r0uxw.png)
(2x - 10) + 2 ≥ 4
(2x - 10) + 2 - 2 ≥ 4 - 2
2x - 10 ≥ 2
2x - 10 + 10 ≥ 2 + 10
2x ≥ 12
![(2x)/(2)\geq (12)/(2)](https://img.qammunity.org/2021/formulas/mathematics/college/8v421e7tul102ptq53ymh2d360813joazm.png)
x ≥ 6
6x + 15 - 9x ≥ 6
(6x - 9x) + 15 ≥ 6
(-3x) + 15 ≥ 6
-3x + 15 - 15 ≥ 6 - 15
-3x ≥ -9
3x ≤ 9
x ≤ 3
We have to plot the inequality on a number line
x ≥ 6 Or x ≤ 3