Question

Mariya was asked to solve a−13≤−16 and graph the solution. Her work is shown below.Original Problem: a−13≤−16 Step 1: (−13)(a−13)≥−16(−13) Step 2: a≥208 Step 3: In which step, if any, did Mariya make a mistake?NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question.(1 point)ResponsesNo mistake foundNo mistake foundStep 2Step 2Step 1Step 1Step 3Step 3

Answer 1

Let's analyze Mariya's work step by step:

1. Original Problem: \[ a - 13 \leq -16 \]

2. Step 1: Mariya multiplied both sides of the inequality by \(-13\): \[ (-13)(a - 13) \geq (-16)(-13) \] Here, there is a mistake because when you multiply or divide both sides of an inequality by a negative number, the direction of the inequality must change. Therefore, it should be: \[ -13(a - 13) \geq 208 \] So Step 1 contains the mistake.

3. Step 2: Assuming Step 1 was correct (but it isn't), Mariya had: \[ a \geq 208 \] This conclusion is based on the incorrect manipulation from Step 1.

4. Step 3: Since Step 1 was wrong, it affects all subsequent steps.

Given this analysis, the mistake was made in Step 1.

Therefore, the correct response is Step 1.

Answer 2

step 1 is wrong

Answer 3

its step 3