Respuesta :

leena

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t ≥ -2

2t + 8 ≥ -4(t + 1)

Distribute the coefficient outside of the parenthesis:

2t + 8 ≥ -4(t) -4(1)

2t + 8 ≥ -4t - 4

Add 4t to both sides:

6t + 8 ≥ -4

Subtract 8 from both sides:

6t ≥ -12

Divide both sides by 6:

t ≥ -2.

Answer: t ≥  -2/3

Step-by-step explanation:

  1. Distribute the -4 into (t + 1). 2t + 8 ≥  - 4t - 4
  2. Add 4t on both sides. 6t + 8 ≥  -4
  3. Subtract 8 on both sides. 6t ≥  -4
  4. Divide by 6 on both side. Then , simplify -4/6 by 2 on both the numerator and denominator. t ≥ -2/3