Solve the following inequality: 3(x-2)4(2x+11) . Use the Equation Editor to write your answer as an inequality. help please

Question

Solve the following inequality: 3(x-2)>4(2x+11) .  Use the Equation Editor to write your answer as an inequality. help please

cruffo · Answer

3x-6 > 8x+44   (distribute to clear parenthesis)
    -6 > 5x + 44  (subtract 3x from both sides)
  -50 > 5x          (subtract 44 from both sides)
  -10 >   x         (divide both sides by 5)

Ans: x < -10

Check: (pick any number less than -10, for example -20)
3(-20) - 6   |    8(-20) + 44
-60 - 6       |    -160 + 44
-66             |   -116

-66 > -116  TRUE

texaschic101 · Answer

good job cruffe :)