what is a correct first step in solving the inequality -4(3 - 5x)≥ -6x + 9?\n-12 - 20x ≤ -6x + 9\n-12 - 20x…

what is a correct first step in solving the inequality -4(3 - 5x)≥ -6x + 9?\n-12 - 20x ≤ -6x + 9\n-12 - 20x ≥ -6x + 9\n-12 + 20x ≤ -6x + 9\n-12 + 20x ≥ -6x + 9

what is a correct first step in solving the inequality -4(3 - 5x)≥ -6x + 9?\n-12 - 20x ≤ -6x + 9\n-12 - 20x ≥ -6x + 9\n-12 + 20x ≤ -6x + 9\n-12 + 20x ≥ -6x + 9

Answer

Explanation:

Step1: Apply distributive property

Multiply -4 by each term inside the parentheses. When we have -4(3 - 5x), we get -4×3+(-4)×(-5x). Since -4×3 = - 12 and (-4)×(-5x)=20x, the left - hand side of the inequality becomes -12 + 20x. The right - hand side remains -6x + 9. So the inequality is -12 + 20x≥-6x + 9.

Answer:

-12 + 20x≥-6x + 9 (the fourth option)