Step 1: Write the compound inequality as two inequalities: 13 < 3x - 7 -13 ≤ 3x - 7 -13 ≥ 3x - 7 and 3x – 7 < 5
Step 2: Add 3 7 13 to both sides of the left inequality to isolate the variable term.
Step 3: Divide both sides of the left inequality by 2 -3 3> to isolate the variable.
Step 4: Add 7 -7 to both sides of the right inequality to isolate the variable term.
Step 5: Divide by -3 3 12 to isolate the variable in the right inequality.
Step 6: Graph the solution set to the inequality on the number line.