Question

Solve the inequality and show on a number line

(picture included below)

Answer 1

15

`x-1<15`

Add 1 to both sides:

`x<16`

On a number line, you should highlight all numbers to the left of 16, excluded.

16

`2(y+1)-2\geq 12`

Expand the left hand side:

`2y+2-2\geq 12`

Sum like terms on the left hand side:

`2y\geq 12`

Divide both sides by 2:

`y\geq 6`

On a number line, you should highlight all numbers to the right of 6, included.

Answer 2

Explanation:

I cant show a number line so i'll do my best to explain how its graphed.

15) x - 1 < 15

add 1 to both sides:

x < 16

Because it is less than, rather than less than or equal to, it's graphed with an open circle (not filled in) on 16, and everything less than 16 highlighted

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16) 2(y + 1) - 2 ≥ 12

distribute the 2:

2y + 2 - 2 ≥ 12

combine like terms

2y ≥ 12

isolate y:

y ≥ 6

This one is greater than or equal to, so it's graphed with a closed circle (filled in) and everything above 6 highlighted