Question
4. Solve the Multi-step inequality, Make sure to work this out on paper. look at example above to help you.
3(4c-5) 2c> 0
c<2/3
c>4/3
C< 12.5
c>3/2
3(4c-5) 2c> 0
c<2/3
c>4/3
C< 12.5
c>3/2
Answers
GPT 3.5
To solve the multi-step inequality, we will follow the steps:
1. Distribute the 3 to both terms inside the parentheses:
12c - 15 + 2c > 0
2. Combine like terms on the left side:
14c - 15 > 0
3. Add 15 to both sides to isolate the variable:
14c > 15
4. Divide both sides by 14 to solve for c:
c > 15/14
Therefore, the solutions to the inequality are:
c > 15/14
Alternatively, you could also express the solution using mixed fractions:
c > 1 + 1/14
So, the final solution is:
c > 1 1/14
1. Distribute the 3 to both terms inside the parentheses:
12c - 15 + 2c > 0
2. Combine like terms on the left side:
14c - 15 > 0
3. Add 15 to both sides to isolate the variable:
14c > 15
4. Divide both sides by 14 to solve for c:
c > 15/14
Therefore, the solutions to the inequality are:
c > 15/14
Alternatively, you could also express the solution using mixed fractions:
c > 1 + 1/14
So, the final solution is:
c > 1 1/14