Solving and Graphing 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

How do you graph the inequality k < 3?

Back

You draw a number line, place an open circle at 3, and shade to the left to indicate all numbers less than 3.

Front

What is the solution to the inequality 1 + 3r > 10?

Back

r > 3.

Front

How do you isolate the variable in the inequality 11 > -3y + 2?

Back

Subtract 2 from both sides to get 9 > -3y, then divide by -3, remembering to flip the inequality sign: -3 < y.

Front

What does the inequality -169 ≤ 8m - 9 represent?

Back

It represents that 8m - 9 is greater than or equal to -169.

Front

What is the solution to the inequality 6 - 2h > 30?

Back

h < -12.

Front

What does it mean to 'flip' the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of an inequality by a negative number.

Front

What is a solution set in the context of inequalities?

Back

A solution set is the set of all values that satisfy the inequality.