Question

Which list of numbers are valid for both inequalities?

3
0
2
5
8
7
O -1, 0,1
O 0,1,2
0 -1,0, 1, 2
0 -3, -2,-1, 0, 1, 2, 3, 4

Answer 1

-3, - 2, - 1, 0, 1, 2, 3, 4

Explanation:

The blue line of the number line can have its inequality range written as :

Since both startibg and endpoints are shaded :

-1 ≤ x ≤ 4

The red line can also be written as :

Only the start is shaded:

-3 ≤ x < 2

Listing out the values :

Blue line :-1 ≤ x ≤ 4

-1, 0, 1, 2, 3, 4

The red line : -3 ≤ x < 2

-3, - 2, - 1, 0, 1, 2

Combining both values :

-3, - 2, - 1, 0, 1, 2, 3, 4