Answer:
a). x < 6 or x ≥ -3
b). -3 ≤ x < 6
Step-by-step explanation:
a). Inequality 1,
[tex]\frac{1}{2}(x+4)<5[/tex]
(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
