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 in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'.

Front

How do you represent the inequality 2x + 3 < 7 graphically?

Back

You would graph a line for 2x + 3 = 7 and shade to the left of the line.

Front

What is the solution to the inequality 10 - 3x < 16?

Back

x > -2.

Front

When graphing the inequality x > 2, what type of circle is used?

Back

An open circle is used for x > 2.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

How do you solve the inequality 28 + 2x > 50?

Back

Subtract 28 from both sides to get 2x > 22, then divide by 2 to find x > 11.

Front

What is the difference between a closed circle and an open circle on a number line?

Back

A closed circle indicates that the number is included (≤ or ≥), while an open circle indicates that the number is not included (< or >).

Front

What does the inequality x ≤ 5 represent?

Back

It represents all numbers less than or equal to 5.