Question

Determine whether the given numbers are solutions of the inequality. y-8>2y-3

4, -11, -19, -1
(are any of these numbers a solution to the inequality?)

Answer 1

Given
y-8>2y-3 ... (1)
Find if 4, -11, -19, -1 are solutions to the inequality (1):
1. y=4
4-8>2(4)-3 ?
-4 > 5 ?
since -4<5, the answer is no, 4 is not a solution to (1)
2. y=-11
-11-8 > 2(-11)-3 ?
-19 > -25 ?
Draw this on the number line:
....-25......-19.......-1 0 1 2 3 4...
Since -19 is to the right of -25 on the number line, we conclude that yes, y=-11 is a solution to inequality (1).

Continue this way for the other two cases.

Post for checking if you wish.