Answer :
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.
