Question

(2x - 7 < 15). Convert to interval notation.

a) (-[infinity], 11)
b) (-[infinity], 6)
c) (-[infinity], 22)
d) (-[infinity], 8)

Answer 1

To solve the inequality (2x - 7 < 15) for x, add 7 to both sides and then divide by 2, yielding x < 11. The correct interval notation is (-∞, 11).

Step-by-step explanation:

The inequality (2x - 7 < 15) can be solved for x as follows:

1. Add 7 to both sides of the inequality to get 2x < 22.
2. Divide both sides by 2 to isolate x, yielding x < 11.
3. The interval notation for x < 11 is (-∞, 11), where ∞ represents infinity.

Therefore, the correct answer in interval notation is option a) (-∞, 11).