Answer:
To solve the inequality 4(5x + 7) ≤ 13, we can start by simplifying the expression:
20x + 28 ≤ 13
Next, we can isolate the variable by subtracting 28 from both sides of the inequality:
20x ≤ 13 - 28
20x ≤ -15
Finally, we divide both sides of the inequality by 20:
x ≤ -15/20
x ≤ -3/4
The solution to the inequality is x ≤ -3/4. In set-builder notation, we can represent this solution as:
x