This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Simplify the absolute value on the right side of the inequality. -2 - (3)/(5)x ≤ |(1)/(3)| -2 - (3)/(5)x ≤ (1)/(3) Step 2: Add 2 to both sides of the inequality. (3)/(5)x ≤ (1)/(3) + 2 To add the numbers on the right side, find a common denominator. (3)/(5)x ≤ (1)/(3) + (6)/(3) (3)/(5)x ≤ (7)/(3) Step 3: Multiply both sides by -(5)/(3) to solve for x. Remember to reverse the inequality sign when multiplying or dividing by a negative number. (-(5)/(3)) (-(3)/(5)x) ≥ ((7)/(3)) (-(5)/(3)) x ≥ -(35)/(9) The solution is: x ≥ -(35)/(9)