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

–4
–3
–2
–1

User Sarjit
by
7.8k points

2 Answers

1 vote

Answer:

  • 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

_______________________

Hope this helps!

Have a great day! :)

2 votes
9(2x + 1) < 9x -18 = x < -3
User Sathish Kothandam
by
8.1k points

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