I am doing something wrong when I work this question. Can someone show me the steps. I have the answer. x<5.189
The sum of the costs in parts a and c is less than $120. Write and solve an inequality to determine the possiblities for the number of compact disks Merle purchased.
10.5x + 8(x+3)< 120
I know the answer is x< 5.189
Here is how I did it but I believe it is wrong.
10.5x + 8(x+3)<120
10.5x + 8x+3<120
18.5x + 3< 120
18.5x + 3-3<120-3
18.5x<117
X<6.324(wrong)
Help please
ere is how I did it but I believe it is wrong.
10.5x + 8(x+3)<120
10.5x + 8x+3<120 error here, should b
10.5x + 8x+24<120
Thank you so much.
To solve the inequality 10.5x + 8(x+3)<120, you are on the right track but made a small error when distributing the 8 to both terms inside the parentheses. Here are the correct steps:
1. Start with the given inequality: 10.5x + 8(x+3) < 120.
2. Distribute the 8 to both terms inside the parentheses: 10.5x + 8x + 24 < 120.
3. Combine like terms: 18.5x + 24 < 120.
4. Subtract 24 from both sides to isolate the variable term: 18.5x < 96.
5. Divide both sides by 18.5 to solve for x: x < 96/18.5.
6. Simplify the fraction: x < 5.189.
Therefore, the correct solution to the inequality is x < 5.189. It seems that you were on the right track but made an error when distributing the 8.