Question

Solve the following inequality. Write the solution set using interval notation.

7(4x + 1) > 7
a) x < -1
b) x > -1
c) x ≥ -1
d) x ≤ -1

Answer 1

The inequality 7(4x + 1) > 7 simplifies to x > -1, with the interval notation for the solution being (-1, ∞).

Step-by-step explanation:

To solve the inequality 7(4x + 1) > 7, we first simplify the inequality by dividing both sides by 7, which results in 4x + 1 > 1. Subtracting 1 from both sides, we get 4x > 0, and dividing by 4 leaves us with x > 0.

Therefore, the solution to the inequality is that x must be greater than -1.

The solution set, in interval notation, is (x > -1), which corresponds to (-1, ∞).