Question

Question 4 of 10

Given the inequalities y> 3x-1 and y<-2x+ 1 graphed on the same
coordinate grid, which of the following statements are true? Check all that
apply.
A. The line for y=-2x+1 will be solid.
B. Shading will be below the y=-2x+ 1 line and below the y= 3x - 1
line.
C. Shading will be above the y=-2x+1 line but below the y= 3x-1
line.
D. None of the above
SUBMIT

Answer 1

Explanation:

The correct answer is C. Shading will be above the y=-2x+1 line but below the y= 3x-1 line.

The line y=-2x+1 is a line with a slope of -2 and a y-intercept of 1. It represents the solutions that are greater than -2x+1.

The line y=3x-1 is a line with a slope of 3 and a y-intercept of -1. It represents the solutions that are less than 3x-1.

So, when you graph both of these lines on the same coordinate plane, the solutions that satisfy both inequalities will be the region that is above the line y=-2x+1 but below the line y=3x-1, and this is the region that will be shaded.