Solving and Graphing One-Step Inequalities No Negatives

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 'greater than'.

Front

How do you solve the inequality r - 14 ≥ 17?

Back

Add 14 to both sides: r ≥ 31.

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 with < or >).

Front

How do you solve the inequality y + 7 ≥ -12?

Back

Subtract 7 from both sides: y ≥ -19.

Front

What does the inequality 15h ≥ 105 represent?

Back

It represents that Johnny needs to work at least 7 hours to earn $105.

Front

What does the number line graph with an open dot at 5 represent?

Back

It represents the inequality x > 5.

Front

What does the number line graph with a closed dot at -5 represent?

Back

It represents the inequality x ≥ -5.

Front

What is the first step in solving an inequality?

Back

Isolate the variable on one side of the inequality.