INEQUALITIES (P.5)

Front

What is an inequality?

Back

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

Front

What does a closed circle on a number line represent?

Back

A closed circle indicates that the number is included in the solution set, meaning the inequality is ≤ or ≥.

Front

What does an open circle on a number line represent?

Back

An open circle indicates that the number is not included in the solution set, meaning the inequality is < or >.

Front

How do you solve the inequality 2y + 7 > 13?

Back

Subtract 7 from both sides to get 2y > 6, then divide by 2 to find y > 3.

Front

What is the inequality for a graph with a closed circle on 4 and shading to the left?

Back

x ≤ 4.

Front

What is the inequality for a graph with an open circle on 2 and shading to the right?

Back

x > 2.

Front

What is the solution to the inequality 3x - 5 < 4?

Back

Add 5 to both sides to get 3x < 9, then divide by 3 to find x < 3.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you graph the inequality x > -1?

Back

Draw an open circle on -1 and shade to the right.