Question

What value of x is in the solution set of the inequality 9(2x + 1) < 9x – 18?

–4
–3
–2
–1

Answer 1

• B. x < - 3

Explanation:

`\sf 9(2x + 1) < 9x - 18`

Expand:-

• 
  `\sf 18x+9 < 9x-18`

Subtract 9x from both sides :-

• 
  `\sf 18x+9-9x < -18`

Simplify :-

• 
  `\sf 9x+9 < -18`

Subtract 9 from both sides:-

• 
  `\sf 9x < -18-9`

Simplify :-

• 
  `\sf 9x < -27`

Divide both sides by 9:-

• 
  `\sf x < - \cfrac{27}{9}`

Simplify :-

• 
  `\sf x < -3`

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Hope this helps!

Have a great day! :)

Answer 2

9(2x + 1) < 9x -18 = x < -3