Solving Inequalities Variables On Both Sides

Front

What does the inequality symbol '≥' represent?

Back

The words 'at least'.

Front

What does the inequality symbol '<' represent?

Back

The words 'less than'.

Front

Solve the inequality: 54x + 64 ≥ 49x + 59

Back

x ≥ -1.

Front

What does the inequality symbol '>' represent?

Back

The words 'more than'.

Front

Write the inequality for the situation: Renting games online from Netwii costs $3.33 per game, and renting from HDO costs $2.00 per game plus a $10 monthly fee, when Netwii's cost is more than HDO's.

Back

3.33v > 2v + 10.

Front

What is the first step in solving an inequality with variables on both sides?

Back

Combine like terms on both sides.

Front

What does it mean to isolate the variable in an inequality?

Back

To get the variable by itself on one side of the inequality.

Front

If you multiply or divide both sides of an inequality by a negative number, what happens to the inequality sign?

Back

It flips direction.

Front

What is the solution set of an inequality?

Back

The set of all values that make the inequality true.

Front

How do you graph the solution of an inequality on a number line?

Back

Use an open circle for '<' or '>', and a closed circle for '≤' or '≥'.