Mary Ann solves the inequality −3x≥12. Justify the steps Mary Ann takes to find the solution set.(1 point)
Responses
Mary Ann adds −3 to both sides of the inequality to get x≥9.
Mary Ann adds negative 3 to both sides of the inequality to get x greater-than-or-equal-to 9 .
Mary Ann divides both sides of the inequality by −3 and changes the inequality symbol to ≤ to get x≤−4.
Mary Ann divides both sides of the inequality by negative 3 and changes the inequality symbol to less-than-or-equal-to to get x less-than-or-equal-to negative 4 .
Mary Ann divides both sides of the inequality by −3 to get x≥−4.
Mary Ann divides both sides of the inequality by negative 3 to get x greater-than-or-equal-to negative 4 .
Mary Ann adds −3 to both sides of the inequality and changes the inequality symbol to ≤ to get x≤9.
The correct response is:
Mary Ann adds negative 3 to both sides of the inequality to get x greater-than-or-equal-to 9.
but are you right tho?
The correct response is:
Mary Ann divides both sides of the inequality by −3 and changes the inequality symbol to ≤ to get x≤−4.
This is because when dividing or multiplying by a negative number, we need to flip the inequality symbol.
The correct response is:
Mary Ann divides both sides of the inequality by negative 3 and changes the inequality symbol to less-than-or-equal-to to get x less-than-or-equal-to negative 4.
To find the solution set for the inequality −3x≥12, Mary Ann follows these steps:
1. Begin with the inequality: −3x≥12.
2. Divide both sides of the inequality by −3. When you divide by a negative number, the inequality symbol flips. So, we get x ≤ -4. The inequality changes from greater-than-or-equal-to (≥) to less-than-or-equal-to (≤).
3. Therefore, the solution set for the inequality is x ≤ -4.