Question

Which values are solutions of the inequality 5 < y - 8?

Choose ALL that apply.
8 9 13 15 20

Answer 1

15 qnd 20

Explanation:

5< y -8

5 < 8-8

5 < 0 it can't be, so 8 is not a solution.

5< y -8

5< 9 -8

5 < 1 it can't also be, so 9 is not a solution.

5< y -8

5< 13 - 8

5< 5, 13 can't be a solution because it is equal to 5 (5=5).

5< y - 8

5< 15 -8

5< 7 , yes 15 could be a solution.

5< y - 8

5< 20 -8

5< 12 ,20 is also a solution because 12 is greater than 5.

Answer 2

Hey there!

`\bold{TEMPORARY\ equation: 5 = y - 8}`

SOLVING for the TEMPORARY QUESTION

FLIP your EQUATION

ADD by
`\bold{\bold{8}}` on BOTH SIDES

`\bold{y - 8 + 8 = 5 + 8}`

CANCEL out:
`\bold{-8+8}` because it gives you
`\bold{0}`

KEEP:
`\bold{5+8}` because it gives us the value of
`\bold{y}`

`\bold{y = 5+8}`

`\boxed{\bold{Temporary\ answer: y = 13}}`

NOW LETS ANSWER YOUR ACTUAL EQUATION!

`\bold{5<y-8}`

SWITCH/FLIP the equation

`\bold{y - 8>5}`

ADD by
`\bold{8}` on BOTH SIDES

`\bold{y -8 +8>5+8}`

CANCEL out:
`\bold{-8+8}` because it gives you
`\bold{0}`

KEEP:
`\bold{5+8}` because it gives you
`\bold{13}` and it helps what’s being compared to
`\bold{y}`

`\boxed{\boxed{\bold{Actual\ answer: y>13}}}\checkmark`

Good luck on your assignment and enjoy your day!

~
`\frak{LoveYourselfFirst:)}`