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 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 6 + 2h > 30?

Back

Subtract 6 from both sides: 2h > 24. Then divide by 2: h > 12.

Front

What does the solution h > 12 represent?

Back

It means that h can be any number greater than 12.

Front

When graphing the inequality x < 4, what type of dot is used?

Back

An open dot is used to indicate that 4 is not included in the solution.

Front

How do you write an inequality for the statement: 'You can spend at most $18'?

Back

The inequality is x ≤ 18.

Front

If a parking garage charges $4.50 per hour, how do you express the cost for h hours?

Back

The cost is 4.50h.

Front

What is the solution to the inequality 10.25h ≥ 550?

Back

h ≥ 54, meaning Sam needs to work at least 54 hours.

Front

What does the graph of x ≤ 4 look like?

Back

It includes all numbers less than or equal to 4, represented with a closed dot at 4.