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

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

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

Back

Divide both sides by 8: x ≥ -4.

Front

What is the solution to the inequality 22 < 6c + 4?

Back

Subtract 4 from both sides: 18 < 6c, then divide by 6: 3 < c.

Front

What does the inequality 6 > x represent?

Back

It means that x is less than 6.

Front

If a > 6, what can we say about the value of a?

Back

a is any number greater than 6.

Front

What is the first step in solving the inequality 3x + 5 < 20?

Back

Subtract 5 from both sides: 3x < 15.

Front

How do you graph the inequality x < 4 on a number line?

Back

Draw an open circle at 4 and shade to the left.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality.