Question

I need help please ASAP

Answer 1

2. x is less than or equal to -5

So x could be -5, -6, -7, -8, -9, -10.....and so on

3. 16 is less than x, or x is greater than 16

So x could be any number greater than 16

4. x + 9 > 21; x = 10

Since you know "x", plug it in

x + 9 > 21

10 + 9 > 21

19 > 21

It is NOT a solution because 19 is NOT greater than 21

5. 3x < 45; x = 20

Plug in x

3x < 45

3(20) < 45

60 < 45

It is NOT a solution because 60 is NOT less than 45

6. 2x - 15 ≥ 5; x = 10

Plug in x

2x - 15 ≥ 5

2(10) - 15 ≥ 5

20 - 15 ≥ 5

5 ≥ 5

It IS a solution because 5 IS greater than or equal to 5

7. You see how the dot is filled in or not filled in? The dot is filled in when the sign is ≤ or ≥ ("less/greater than or equal to") The dot is NOT filled in when the sign is < or >.

Since the arrow is going to the left of 6, that means that "x" is any number less than 6

x < 6

8. The dot is filled in and the arrow is going to the left of -3, that means "x" is less than or equal -3

x ≤ -3

9. The dot is not filled in, and the arrow is going to the right of 0, that means that "x" is any number greater than 0

x > 0

(I'll update problems 10-12 in a few minutes)