Question

1. solve the following inequality for c. graph it on the number line. 2c - 10 < 3c - 9

Explanation:

Step1: Move terms with \(c\) to one side

Subtract \(2c\) from both sides:
\(2c - 10-2c<3c - 9-2c\)
\(- 10

Step2: Isolate \(c\)

Add \(9\) to both sides:
\(-10 + 9\(-1-1\)

Answer:

The solution is \(c > - 1\). To graph it on the number line: draw an open circle at \(-1\) (because the inequality is strict, \(c
eq - 1\)) and shade the line to the right of \(-1\).