Chapter 5 Test Review Solving inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you graph the inequality -2 < x ≤ 3?

Back

To graph -2 < x ≤ 3, draw a number line, use an open circle at -2 (not included) and a closed circle at 3 (included), and shade the region between them.

Front

How do you solve the inequality x - 3 > 4?

Back

To solve x - 3 > 4, add 3 to both sides to get x > 7.

Front

What inequality represents the situation where Mike has at least $250 in his savings account?

Back

The inequality is m ≥ 250.

Front

How do you solve the compound inequality -6 < 2t - 5 < 3?

Back

To solve -6 < 2t - 5 < 3, first add 5 to all parts to get -1 < 2t < 8, then divide by 2 to find -0.5 < t < 4.

Front

What inequality represents the situation where Zach can spend at most $100 on new clothes?

Back

The inequality is z ≤ 100.