Question

Elena solved the following inequality on her math test.

4(5 – 6g) ≤ 10g – 184

20 – 24g ≤ 10g – 184

20 – 34g ≤ -184

-34g ≤ -204

g ≤ 6

Her teacher marked the question wrong and asked Elena to fix her mistake. Identify the mistake that Elena made AND explain which rule or property she should use to fix her mistake.

Answer 1

Step-by-step explanation:

Identifying the Mistake:

$4(5 - 6g) \leq 10g - 184$

$20 - 24g \leq 10g - 184$

$20 - 34g \leq -184$

$-34g \leq -204$

$g \leq 6$   ←   MISTAKE HERE

There is a mistake in writing g ≤ 6. Instead of g ≤ 6, there should be written g $\geq$ 6.

HOW TO CORRECT THE MISTAKE

$-34g \leq -204$

$\left(-34g\right)\left(-1\right)\ge \left(-204\right)\left(-1\right) = g\geq 6$

Reason: Multiplying both sides by - 1 will reverse the inequality.

HER IS THE CORRECT SOLUTION:

$4(5 - 6g) \leq 10g - 184$

$20 - 24g \leq 10g - 184$

$20 - 34g \leq -184$

$-34g \leq -204$

Multiplying both sides by - 1 (reverse the inequality)

$\left(-34g\right)\left(-1\right)\ge \left(-204\right)\left(-1\right)$

$34g\ge \:204$

$g\ge \:6$

Keywords: inequality, solution

Learn more about inequality form brainly.com/question/2578542

#learnwithBrainly

Answer 2

Answer:

it’s B:)

Step-by-step explanation: