1.5
Solving Simple Inequalities
An inequality compares two quantities.
We use these symbols:
<
<
>
>
An algebraic inequality is an
inequality that contains a
A number that makes the
inequality true is a
of the inequality
Example: x is less than 5
The inequality is:
A solution of the inequality is:
*Since there are infinitely many solutions,
all the solutions are part of a solution set.
We can graph them:
-3
-2
-1
0
1
2
3
4
5
6
7
Write each algebraic inequality.
Then graph the solution set.
x is greater than 7
y is at most 10.2
y is at least 10
x is more than 8
w is less than 12
Solve each inequality. Then graph the solution set.
An elevator has a maximum weight of 3000 pounds.
How many 150-pound people can safely ride the
elevator?
Write and solve an inequality to answer the question.
To avoid a service charge, John must keep more than
$500 in his account.
His current balance is $536.24, but he plans to write
a check for $157.35.
Write an inequality and solve to find how much he
must deposit to avoid a service charge.