Solving Graphing Writing One Step Two Step Multi Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality 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 6t + 4 ≤ -2?

Back

Subtract 4 from both sides to get 6t ≤ -6, then divide by 6 to find t ≤ -1.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips (changes direction).

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.

Front

How can you check if a number is a solution to an inequality?

Back

Substitute the number into the inequality and see if the statement is true.

Front

What does the inequality 12 - m ≤ 7 imply about m?

Back

It implies that m must be greater than or equal to 5.

Front

If x < 3, what are some possible values for x?

Back

Possible values include 2, 1, 0, -1, etc.

Front

What is the first step in solving a multi-step inequality?

Back

Identify and isolate the variable by performing inverse operations.