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Trava [24]
2 years ago
5

Solve the inequality 5y+4 ≤ 22-y and graph the solution set on a number line. Please explain how to do it!

Mathematics
2 answers:
gtnhenbr [62]2 years ago
4 0

Answer:

y≤3

Step-by-step explanation:

5y+4≤22−y

<em>Step 1: Simplify both sides of the inequality.</em>

5y+4≤−y+22

<em>Step 2: Add y to both sides.</em>

5y+4+y≤−y+22+y

6y+4≤22

<em>Step 3: Subtract 4 from both sides.</em>

6y+4−4≤22−4

6y≤18

<em>Step 4: Divide both sides by 6.</em>

6y/6≤18/6

y≤3

Sati [7]2 years ago
3 0

Hey there!

Let's solve your inequality step-by-step.

\fbox{5y+4≤22−y}

Step 1: Simplify both sides of the inequality.

\fbox{5y+4≤−y+22}

Step 2: Add y to both sides.

\fbox{5y+4+y≤−y+22+y}

\fbox{6y+4≤22}

Step 3: Subtract 4 from both sides.

\fbox{6y+4−4≤22−4}

\fbox{6y≤18}

Step 4: Divide both sides by 6.

\fbox{6y/6 ≤ 18/6}

\fbox{y≤3}

Answer:

\fbox{y≤3}

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