Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

x ≥ -10.

Front

What is the solution to the inequality x + 5 > 7?

Back

x > 2.

Front

How do you solve the inequality 6 + 2h > 30?

Back

h > 12.

Front

When graphing an inequality, what does an open dot represent?

Back

An open dot represents that the number is not included in the solution (used for < or >).

Front

When graphing an inequality, what does a closed dot represent?

Back

A closed dot represents that the number is included in the solution (used for ≤ or ≥).

Front

What is the solution to the inequality -9x + 7 ≥ 25?

Back

x ≤ -2.

Front

What is the first step in solving an inequality?

Back

Isolate the variable on one side of the inequality.