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

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality 27 < 7x + 6?

Back

Subtract 6 from both sides: 21 < 7x. Then divide by 7: 3 < x.

Front

What is the solution to the inequality 15 - 5x > 0?

Back

Add 5x to both sides: 15 > 5x. Then divide by 5: 3 > x or x < 3.

Front

When graphing the inequality r ≥ -6, what type of dot is used?

Back

A closed dot is used because the inequality includes 'greater than or equal to'.

Front

What type of dot is used for the inequality x < 4?

Back

An open dot is used because the inequality does not include '4'.

Front

If Debbie increases her workout time by 5 minutes each week, how do you express this as an inequality?

Back

Let x be the number of weeks. The inequality is 25 + 5x ≤ 60.