Question

Please help I do not understand how to do the steps on this: One-Variable Compound Inequalities
4x + 7 < 11 or 1 – x ≤ -2

Answer 1

4x + 7 < 11
4x-7+7<11-7
4X+7<8
Is this correct so far

Answer 2

you started off write but in the 3rd line you forgot to remove the 7 from the first part of the equation & also your subtraction is off it should be 4x<4

Answer 3

Not sure why

Answer 4

so the third step should be 4x<4

Answer 5

Do I start working on the next set

Answer 6

yes

Answer 7

now you divide 4x by 4 & you'll get your first answer

Answer 8

So the answer will just be 'x'?

Answer 9

no remember a number divided by itself is 1

Answer 10

x<1. now go to the other side of the equation, 1 – x ≤ -2

Answer 11

1 – x ≤ -2
1-1-x≤-2-1
-x≤-2

Answer 12

no 3 ≤ x

Answer 13

is the steps correct that I just posted

Answer 14

since you can't have a negative x you have to add x on both side instead first so
1 – x ≤ -2
1 -x +x ≤-2 +x
1≤-2 +x
1≤-2 +x +2
1+2≤x
3≤x

Answer 15

So the -x has to be removed by dividing it into itself?

Answer 16

your final answer should be
3≤x<1

Answer 17

No, you have to ad x on both sides as your first step because x can not be negative

Answer 18

okay. Thank you for helping me.