solving Inequalities

Front

What does the inequality x ≥ -5 mean?

Back

The value of x is greater than or equal to -5.

Front

How do you solve the inequality -8x < 48?

Back

Divide both sides by -8, which flips the inequality: x > -6.

Front

What symbols indicate a closed dot on a number line when graphing inequalities?

Back

The symbols ≤ and ≥ indicate a closed dot.

Front

Solve the inequality: 3(x - 2) < 2(x + 9)

Back

x < 24.

Front

When do you flip the inequality symbol?

Back

You flip the inequality symbol when you multiply or divide by a negative number.

Front

What is an inequality?

Back

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

Front

What does the symbol < mean in an inequality?

Back

It means 'less than'.

Front

What does the symbol > mean in an inequality?

Back

It means 'greater than'.

Front

How do you graph the inequality x < 3?

Back

Draw a number line, place an open dot at 3, and shade to the left.

Front

What is the solution set for the inequality x ≥ 4?

Back

The solution set includes all numbers greater than or equal to 4.