Question

Which of the following points are solutions to the system of inequalities

shown below?
Check all that apply.
y>5x-3
x< 5
0
A. (2,5)
0
B. (4.17)
0
C. (6,11)
D. (2,8)
E. (1,4)
OF. (5,30)

Answer 1

B, D, E

Explanation:

2nd inequality says that x has to be less than 5, so firstly, we eliminate any choices that have x greater than or equal to 5:

So, C and F are eliminated.

Now looking at others, we simply put the x coordinate into the 1st inequality and check whether the right side is less than or equal to y coordinate. If so, we include that choice.

Choice A:

5(2) - 3 = 7

7 is not less than or equal to 5, so NO

Choice B:

5(4) - 3 = 17

17 is less than or equal to 17, so YES

Choice D:

5(2) - 3 = 7

7 is less than or equal to 8, so YES

Choice E:

5(1) - 3 = 2

2 is less than or equal to 4, so YES