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  • 24-03-2020
  • Mathematics
contestada

27. Solve the inequality
3(3x + 7) > 4-8(4 + 5x).

Respuesta :

igoroleshko156
igoroleshko156 igoroleshko156
  • 24-03-2020

Answer:

x > -1

Step-by-step explanation:

Step 1:  Distribute

3(3x + 7) > 4 - 8(4 + 5x)

(3 * 3x) + (3 * 7) > 4 + (-8 * 4) + (-8 * 5x)

9x + 21 > 4 - 32 - 40x

Step 2:  Combine like terms

9x + 21 > 4 - 32 - 40x

9x + 21 > -28 - 40x

Step 3:  Add 40x to both sides

9x + 21 + 40x > -28 - 40x + 40x

49x + 21 > -28

Step 4:  Subtract 21 from both sides

49x + 21 - 21 > -28 - 21

49x > -49

Step 5:  Divide both sides by 49

49x / 49 > -49 / 49

x > -1

Answer:  x > -1

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