Question

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

Answer 1

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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Answer 2

y≤3

Explanation:

5y+4≤22−y

Step 1: Simplify both sides of the inequality.

5y+4≤−y+22

Step 2: Add y to both sides.

5y+4+y≤−y+22+y

6y+4≤22

Step 3: Subtract 4 from both sides.

6y+4−4≤22−4

6y≤18

Step 4: Divide both sides by 6.

6y/6≤18/6

y≤3