Question

Ten points to the correct answer

Answer 1

This should be the correct answer.

Answer 2

The blue line has a slope of 1 and a y-intercept at 0. In slope intercept form, this equation is y = x. The line is solid and not dashed. This means the inequality could include numbers ON the line itself. The shading is on the left side of the line so it's a greater than equation.

The blue inequality is y ≥ x.

The red line has a slope of 0 and a y-intercept at 6. Slope-intercept form: y = 6 The line is solid and not dashed meaning numbers on the line are again included. The shading is below the horizontal line created so it is a less than inequality.

The red inequality is y ≤ 6

Your system of linear inequalities would be:

y ≥ x

y ≤ 6