Question

Please help me its overdue.

Solve each inequality below and show all steps. Graph your answers on a number line and in interval notation.

A) -2 < 2x - 4 ≤ 4

B) -16-2x ≤ 3x + 4 or 6x-8/5 > 2

Answer 1

A) x > 1

x <= 4

B) x >= -4

x > 3/5

Explanation:

A) -2<2x - 4

4 - 2 < 2x

2/2 < x

x > 1

2x - 4 <= 4

2x <= 4 + 4

x <= 8/2

x <= 4

B) -16 - 2x <= 3x + 4

-16 -4 <= 3x + 2x

-20 <= 5x

-20/5 <= x

x >= -4

6x - 8/5 > 2

6x > 2 + 8/5

6x > 18/5

x > (18/5)/6

x > 3/5