37.0k views
3 votes
Solve the inequality 8(x+9) -7(x+6) greater than or equal to 24

2 Answers

6 votes
Hello, we are first going to "distribute" your inequality. Here is what "distributing" should look like:
(8)(x)+(8)(9)+(−7)(x)+(−7)(6)
(8)(x) becomes 8x, (8)(9) equals 72, (-7)(x) become -7x, (-7)(6) equal -42. Now set it up in the correct order and it should look like this:
8x+72+7x+42
Next step is to combine like terms:
So take this: 8x+72+7x+−42
Now put the numbers with the variables together and the ones with out the variables together: (8x+7x)+(72+−42)(8x+−7x) should become X and (72+−42) equals to 30 so.....
Your answer is:
x+30
Sorry if this seems a bit confusing, but I hoped it helps you~
User Downwitch
by
8.3k points
6 votes
8(x+9) -7(x+6) greater than or equal to 24
Perform multiplication
(8x+72)(-7x-42) greater than or equal to 24
Combine like terms
x+30 greater than or equal to 24
Subtract 30 from both sides.
Final Answer: x is less greater than or equal to -6.

User Bimal
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories