Final answer:
To solve the inequality, distribute 7 to -4, subtract -28 from both sides, and then divide by 5. The answer is x ≥ 10.
Step-by-step explanation:
To solve the inequality 5x + 7(-4) ≥ 22 for x, we need to isolate x on one side of the inequality sign. First, distribute 7 to -4, which gives -28. Then, subtract -28 from both sides of the inequality. This yields 5x ≥ 50. Finally, divide both sides of the inequality by 5 to solve for x. The answer is x ≥ 10.