Question

I need help someone please help MEEEE!!!

Answer 1

a). x < 6 or x ≥ -3

b). -3 ≤ x < 6

Explanation:

a). Inequality 1,

`(1)/(2)(x+4)<5`

(x + 4) < (2×5)

x < 10 - 4

x < 6

Inequality (2),

-2(x - 4) ≤ 14

-2x + 8 ≤ 14

-2x ≤ 14 - 8

-2x ≤ 6

2x ≥ -6

x ≥ -3

So the compound inequality will be,

x < 6 or x ≥ -3

(b). Solution set of the given inequality will be,

-3 ≤ x < 6