Writing, Graphing and Solving Inequalities

Front

What symbols are used with a closed circle when graphing inequalities?

Back

≤, ≥

Front

How would you express the statement 'You and your friends ate more than 8 slices of pizza' as an inequality?

Back

x > 8

Front

What symbols are used with an open circle when graphing inequalities?

Back

<, >

Front

How do you solve the inequality 8x ≥ -32?

Back

x ≥ -4

Front

When solving inequalities, do you need to reverse the inequality sign when dividing by a negative number?

Back

Yes, you reverse the sign.

Front

What is the definition of an inequality?

Back

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

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality uses < or >, while a non-strict inequality uses ≤ or ≥.

Front

What does it mean to graph an inequality on a number line?

Back

It means to represent the set of solutions to the inequality visually, indicating which values satisfy the inequality.

Front

What is the solution set of the inequality x < 5?

Back

All real numbers less than 5.

Front

How do you represent the solution to the inequality x ≥ 3 on a number line?

Back

Draw a closed circle at 3 and shade to the right.