Question

Which values are solutions of the inequality 5 < y - 8?
Choose ALL that apply.
8 9 13 15 20

Answer 1

Answer:

15 qnd 20

Step-by-step 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!

~$\frak{LoveYourselfFirst:)}$