Question

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Answer 1

Answer:

a). x < 6 or x ≥ -3

b). -3 ≤ x < 6  

Step-by-step explanation:

a). Inequality 1,

   $\frac{1}{2}(x+4)$

   (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