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

–4
–3
–2
–1

Sagot :

Answer:

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

18x + 9 < 9x - 18

18x -9x < -18 - 9

9x < -27

x < -3

Answer: -4

Step-by-step explanation:

Answer:LOOK DOWN

Step-by-step explanation: Let's find the value of x in the solution set of the inequality:

9(2x+1)<9x−18

We can solve the inequality by distributing the terms, adding/subtracting terms from both sides, and dividing both sides by the same factor.

Steps to solve:1. Distribute the terms:

18x+9<9x−18

2. Add/subtract terms from both sides:

18x+9−9<9x−18−9

3. Simplify:

18x<9x−27

4. Add/subtract terms from both sides:

18x−9x<9x−27−9x

5. Simplify:

9x<−27

6. Divide both sides by the same factor:

9

9x

​

<

9

−27

7. Simplify:

x<−3

Answer:

The solution set of the inequality is

x<−3

Visualizing the solution:

The solution set includes all the values of x less than -3. We can represent this on a number line by shading the region to the left of -3.

<pre>       |---<---<---<---<---<---<---|

-4  -3  -2  -1   0   1   2

</pre>

I hope this explanation helps! Let me know if you have any other questions.

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