what is 37<3c+7<43 ? PLEASEE !!
37<3c+7<43
subtract 7 everywhere
30 < 3c < 36
divide by 3
10 < c < 12
so, c is between 10 and 12
To solve the inequality 37 < 3c + 7 < 43, we need to isolate the variable (c) in the middle.
Let's start by subtracting 7 from all three parts of the inequality:
37 - 7 < 3c + 7 - 7 < 43 - 7
30 < 3c < 36
Next, divide all three parts of the inequality by 3:
30/3 < 3c/3 < 36/3
10 < c < 12
Therefore, the solution to the inequality 37 < 3c + 7 < 43 is c is greater than 10 and less than 12.
To solve the inequality 37 < 3c + 7 < 43, you need to isolate the variable c. Here's how you can do it step by step:
1. Subtract 7 from all three parts of the inequality:
37 - 7 < 3c + 7 - 7 < 43 - 7
This simplifies to:
30 < 3c < 36
2. Divide all three parts of the inequality by 3:
30/3 < 3c/3 < 36/3
This simplifies to:
10 < c < 12
Therefore, the solution to the inequality 37 < 3c + 7 < 43 is 10 < c < 12.