← The shaded area in the
graph is the graphic
answer to the inequality.
It means that any point
above the line, including
the line, satisfies the
inequality and can be a
possible answer.
−
<
Graph the solutions of
x
3
y
4
Step 1 – Since the equation is in standard form, change it to slope intercept form.
−
<
→
−
< − +
x
3
y
4
3
y
x
4
− +
x
4
>
y
Remember to switch the
−
3
inequality sign when
dividing by a negative.
1
4
>
−
← Slope-Intercept Form
y
x
3
3
Step 2 – Graph the slope-intercept form equation. Since the inequality has the
sign > the line is dashed.
Step 3 – Since the equation has the sign >, the graph is shaded above the line.
4