Answer:
To solve the inequality 1.5(x + 44) ≤ 1188 - 0.7x, we can follow these steps:
1. Distribute the 1.5 to both terms inside the parentheses: 1.5 * x + 1.5 * 44 ≤ 1188 - 0.7x
This simplifies to: 1.5x + 66 ≤ 1188 - 0.7x
2. Combine like terms: 1.5x + 0.7x ≤ 1188 - 66
This simplifies to: 2.2x ≤ 1122
3. Divide both sides of the inequality by 2.2 to isolate x: (2.2x) / 2.2 ≤ 1122 / 2.2
This simplifies to: x ≤ 510
Therefore, the solution to the inequality is x ≤ 510.
Explanation: