A teacher writes an inequality x divided by 6 < -2 on the board. Vincent incorrectly solves the inequality and obtains x <

Question

qaws [65]

3 years ago

9

A teacher writes an inequality x divided by 6 < -2 on the board. Vincent incorrectly solves the inequality and obtains x <

-2 as a solution
What is Vincent’s likely error?

Mathematics

1 answer:

scZoUnD [109] · Answer 1 · 2022-02-19T07:46:42+03:00

The error Vincent made was that he only multiplied the left side of the inequality with 6 although he had to multiply on both sides

Step-by-step explanation:

Given inequality that the teacher wrote is:

$\frac{x}{6} -2$

Solving an inequality means that the variable should be isolated on left side of the inequality.

So multiplying both sides by 6

$6* \frac{2}{6} < -2 * 6\\x < -12$

Vincent got the answer is x<-2 = > The error Vincent made was that he only multiplied the left side of the inequality with 6 although he had to multiply on both sides

Keywords: Inequality, solution

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