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 -3x ≤ 18?

Back

Divide both sides by -3, remembering to flip the inequality sign: x ≥ -6.

Front

What is the solution to the inequality 14 ≥ x - 8?

Back

Add 8 to both sides: 22 ≥ x.

Front

How do you solve the inequality x - 7 ≥ 4?

Back

Add 7 to both sides: x ≥ 11.

Front

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

Back

Subtract 9 from both sides: s ≥ -34.

Front

How do you graph the inequality x ≥ -6?

Back

Draw a number line, place a closed circle on -6, and shade to the right.

Front

What does it mean to 'solve and graph' an inequality?

Back

It means to find the solution set and represent it visually on a number line.

Front

What is the solution to the inequality 7n - 1 > 76?

Back

Add 1 to both sides: 7n > 77, then divide by 7: n > 11.