To solve x + 12 𝑥 + 2 ≤ 2 \frac{x+12}{𝑥+2}≤2 x + 2 x + 1 2 ≤ 2 , first, we transform the given inequality into its general form which is...

x + 12 𝑥 + 2 − 2 ≤ 0 \frac{x+12}{𝑥+2}-2≤0 x + 2 x + 1 2 − 2 ≤ 0

x + 12 𝑥 + 2 + 2 ≤ 0 \frac{x+12}{𝑥+2}+2≤0 x + 2 x + 1 2 + 2 ≤ 0

2 ( x + 12 𝑥 + 2 ) ≤ 0 2\left(\frac{x+12}{𝑥+2}\right)≤0 2 ( x + 2 x + 1 2 ) ≤ 0

1 2 ( x + 12 𝑥 + 2 ) ≤ 0 \frac{1}{2}\left(\frac{x+12}{𝑥+2}\right)≤0 2 1 ( x + 2 x + 1 2 ) ≤ 0

Based from − x + 8 𝑥 + 2 ≤ 0 \frac{-x+8}{𝑥+2}≤0 x + 2 − x + 8 ≤ 0 , what are the critical values of the given rational inequality?

− 8 & − 2 -8\ \&\ -2 − 8 & − 2

solving rational equations

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA.REI.A.2, HSA.APR.D.7, HSA.CED.A.1

+3

Standards-aligned

Hishsam sanuri

Used 1K+ times

FREE Resource

CCSS.HSA.REI.A.2

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Solve and check for extraneous solutions

x= - 3 &x= -8

x= -3 & -8 is extraneous

No Solution

x= -8 & -3 is extraneous

Tags

CCSS.HSA.REI.A.2

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Solve the equation for x.

7

6

14

0

Tags

CCSS.HSA.REI.A.2

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Solve.

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