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

The first inequality, y + 2x > 3, is not in slope-intercept form (rewrite as y > −2x + 3).

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

The second inequality, y ≥ 3.5x − 5, has a solid boundary line.

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

(0, 4) is a point in the solution set (check: 4 > −2·0 + 3 = 3 and 4 ≥ 3.5·0 − 5 = −5).