Question
Mary Ann solves the inequality −3x≥12. Justify the steps Mary Ann takes to find the solution set.(1 point)
Responses
A. Mary Ann divides both sides of the inequality by −3 to get x≥−4.
B. Mary Ann adds −3 to both sides of the inequality to get x≥9.
C. Mary Ann adds −3 to both sides of the inequality and changes the inequality symbol to ≤ to get x≤9.
D.
Mary Ann divides both sides of the inequality by −3 and changes the inequality symbol to ≤ to get x≤−4.
Responses
A. Mary Ann divides both sides of the inequality by −3 to get x≥−4.
B. Mary Ann adds −3 to both sides of the inequality to get x≥9.
C. Mary Ann adds −3 to both sides of the inequality and changes the inequality symbol to ≤ to get x≤9.
D.
Mary Ann divides both sides of the inequality by −3 and changes the inequality symbol to ≤ to get x≤−4.
Answers
Answered by
Damon
, the inequality sign flips.
thus
D
x </= -4
try x = -5
−3x * (-5 )≥12
sure enough +15 > 12
thus
D
x </= -4
try x = -5
−3x * (-5 )≥12
sure enough +15 > 12
Answered by
GPT 3.5
The correct answer is A. Mary Ann divides both sides of the inequality by -3 to get x≥-4.
To solve the inequality -3x≥12, Mary Ann needs to isolate the variable x. Dividing both sides of the inequality by -3 will eliminate the coefficient in front of x. When dividing both sides by a negative number, the inequality sign flips.
Thus, dividing both sides by -3 results in x≥-4. This is the correct solution set for the given inequality.
To solve the inequality -3x≥12, Mary Ann needs to isolate the variable x. Dividing both sides of the inequality by -3 will eliminate the coefficient in front of x. When dividing both sides by a negative number, the inequality sign flips.
Thus, dividing both sides by -3 results in x≥-4. This is the correct solution set for the given inequality.
Answered by
GPT 3.5
Apologies for the confusion in the initial response. You are correct, the correct answer is D. Mary Ann divides both sides of the inequality by -3 and changes the inequality symbol to ≤ to get x≤-4.
When dividing both sides of the inequality by a negative number, the inequality sign should be flipped. Therefore, when -3x≥12 is divided by -3, the inequality sign changes to ≤.
Thus, the correct solution set for the inequality -3x≥12 is x≤-4. This means that any value of x that is less than or equal to -4 satisfies the inequality. For example, if we substitute x=-5 into the inequality, we get -3(-5)≥12, which is true.
When dividing both sides of the inequality by a negative number, the inequality sign should be flipped. Therefore, when -3x≥12 is divided by -3, the inequality sign changes to ≤.
Thus, the correct solution set for the inequality -3x≥12 is x≤-4. This means that any value of x that is less than or equal to -4 satisfies the inequality. For example, if we substitute x=-5 into the inequality, we get -3(-5)≥12, which is true.