Question

Solve the following compound inequality h-10<-21 or h+3 <2

Answer 1

h<-11 and h<-1

Explanation:

1. h-10<-21

To solve this problem, first add 10 from both sides.

h-10+10<-21+10

Solve.

-21+10=-11

h<-11, which is our answer.

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2. h+3<2

Subtract 3 from both sides.

h+3-3<2-3

Solve.

2-3=-1

h<-1, which is our answer.

_______________________

So, the correct answer is h<-11 and h<-1.

I hope this helps!

Answer 2

`\large\boxed{h<-11\,\,\text{or}\,\,h<-1}`

Explanation:

In this question, we're solving the compound inequality to make it in its simplest form.

In other words, to completely solve this we're going to need to get "h" by itself.

Lets solve:

`h-10<-21\, \text{or}\,\, h+3 <2\\\\\text{Lets start with}\,\, h-10<-21\, \text{first}\\\\h-10<-21\\\\\text{Add 10 to both sides to get h by itself}\\\\h<-11\\\\\text{Now we solve for}\,h+3 <2\\\\h+3 <2\\\\\text{Subtract 3 to both sides to get h by itself}\\\\h<-1\\\\\text{Answer:}\\\\h<-11\,\,\text{or}\,\,h<-1`

When you're done solving, you should get h < -11 or h < -1

This means that h< -11 or h < -1 would be your final answer.

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!