Inequalities Review

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'.

Front

How do you solve the inequality f - 6 ≥ 12?

Back

Add 6 to both sides: f ≥ 18.

Front

What is the solution to the inequality p + 121 ≤ 345?

Back

p ≤ 224.

Front

When graphing an inequality, what does an open dot represent?

Back

An open dot represents that the number is not included in the solution (used for < or >).

Front

What does a closed dot represent when graphing inequalities?

Back

A closed dot represents that the number is included in the solution (used for ≤ or ≥).

Front

If s ≥ -2, which graph shows this solution?

Back

Graph 4 shows the solution to the inequality s ≥ -2.

Front

How do you write an equation for spending at a carnival if entry is $20 and tickets are $0.50 each?

Back

The equation is 0.50x + 20 = 35, where x is the number of tickets.

Front

What is the first step in solving the inequality 3x < 12?

Back

Divide both sides by 3: x < 4.