Question

Solve the system of inequalities: y + 2x > 3 and y Greater-than-or-equal-to 3.5x − 5

The first inequality, y + 2x > 3, is
in slope-intercept form.

The first inequality, y + 2x > 3, has a
boundary line.

The second inequality, y Greater-than-or-equal-to 3.5x − 5, has a
boundary line.

Both inequalities have a solution set that is shaded
their boundary lines.


is a point in the solution set of the system of inequalities

Answer 1

y + 2x > 3 in slope-intercept form is y > −2x + 3.

The first inequality has a dashed boundary line (because it's strict, ">").

The second inequality, y ≥ 3.5x − 5, has a solid boundary line (because it's "≥").

Both inequalities have their solution sets shaded above their boundary lines (y greater than each line).

A point in the solution set is (0, 4) because 4 > −2(0) + 3 = 3 and 4 ≥ 3.5(0) − 5 = −5.