Solve the inequality and give the solution in interval notation. \( 13 \leq 3-5 \mathrm{~g}<15 \) The answer in interval notation is (Use integers or fractions for any numbers in the expression.)

To solve the compound inequality \( 13 \leq 3 - 5g < 15 \), we can break it down into two separate inequalities: 1. For \( 13 \leq 3 - 5g \): - Subtract 3 from both sides: \( 10 \leq -5g \) - Divide by -5 (remembering to reverse the inequality): \( g \leq -2 \) 2. For \( 3 - 5g < 15 \): - Subtract 3 from both sides: \( -5g < 12 \) - Divide by -5 (again, reversing the inequality): \( g > -\frac{12}{5} \) Now we have the combined solution: \( -\frac{12}{5} < g \leq -2 \). In interval notation, the solution is: \((- \frac{12}{5}, -2]\).