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?

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(1 point)
Responses

Step 1
Step 1

Step 2
Step 2

No mistake found
No mistake found

Step 3
Step 3

Answer 1

Mariya made a mistake in **Step 1**.

Here’s a breakdown of the problem:

The original inequality is:
\[ a - 13 \leq -16 \]

To isolate \( a \), you should add 13 to both sides:
\[ a \leq -16 + 13 \]
\[ a \leq -3 \]

Mariya incorrectly multiplied both sides of the inequality by \(-13\), which would require flipping the inequality sign (since multiplying or dividing an inequality by a negative number reverses the inequality). This is the source of her mistake in Step 1.

In summary, Mariya's error occurred in **Step 1**.