Graphing Inequalities

Solve for y!
• Graphing inequalities is just like
graphing any other equations. Make
sure your inequality is solved for y!
3y  2x  9
2
y  x3
3
Trace the line
• If your inequality includes an equality, then
the line is solid.
y  4 x 1
y  x  22
• If your inequality is strictly greater than or less
than, then the line is dashed.

y  3x  2
y  x  10
Shading
Shading shows the solution set of the inequality. The
shaded area includes all possible answers.
Shade below the line if y is less than the function.
y  x  10
Shade above the line if y is greater than the function.

y  4 x 1
Practice
Graph the following inequalities:
1. 2y  2x  4
2.

y  x  2
Practice
3. Mindy has $400 from graduation
presents. She wants to buy some new
clothes for college. Shirts cost $35, and
pants cost $45. Write a mathematical
expression for the number of shirts, s,
and pants, p, Mindy can buy with her
graduation money.