Question

1. Solve the inequality 2-x>4. Express the answer in interval notation and sketch the solution set on the

number line.
2. Solve the inequality 15+2x24x-7. Express the answer in interval notation and sketch the solution set
on the number line.
3. Solve the inequality 3(x-5)<3(2x-1). Express the answer in interval notation and sketch the solution
set on the number line.

Answer 1

1. 2 - x > 4, x < -2

Interval notation: (-∞, -2)

2. 15 + 2x - 24x + 7 > 0, -22x + 22 > 0, -22x > -22, x < 1

Interval notation: (-∞, 1)

3. 3(x - 5) < 3(2x - 1), x - 5 < 2x - 1, -x > -6, x < 6

Interval notation: (-∞, 6)

Explanation: