Final answer:
To solve the inequality 44-x-4 ≥ 32 algebraically, we simplify the left side, isolate x, and find x ≤ 8.
Step-by-step explanation:
To solve the inequality 44-x-4 ≥ 32 algebraically, we need to isolate the variable x. First, we can simplify the left side of the inequality by combining like terms. 44-x-4 becomes 40-x. The inequality then becomes 40-x ≥ 32.
To isolate x, we can subtract 40 from both sides of the inequality: 40-x-40 ≥ 32-40. This simplifies to -x ≥ -8.
Finally, we can multiply both sides of the inequality by -1 to change the direction of the inequality sign, because we are multiplying by a negative number. Remember, when multiplying or dividing by a negative number, the inequality sign needs to be flipped. -1 * -x ≤ -1 * -8. This simplifies to x ≤ 8.
Learn more about Solving algebraic inequalities