Question

Which of the following systems of inequalities would have no solution?
Select one:

a. y > 2x + 1
y < -3x

b. y > 3x + 1
y < 3x + 8

c. y > 1/2x + 8
y < -2x -2

d. y < 3x + 1
y > 3x + 8

Answer 1

C

Answer 2

lol

Answer 3

Lol. C is always the correct answer, but not this time.

Answer 4

You could graph it the 2 equations using https://www.desmos.com/calculator

and see which ones don't have any shaded area common to both equations.

Answer 5

Don't let the less than greater than confuse you in these questions, set it up as you would regularly with a equation of a line y = mx+b just with a few rules, which can be found here: https://www.mathsisfun.com/algebra/inequality-properties.html

Answer 6

This is for answer choice C
https://www.desmos.com/calculator/s6zvheaiy4

Answer 7

You can see it has a shaded area (which is common to both) that shows it does have a solution.

Which answer choice gives you a graph that has no common shaded area?