Solve Inequalities (Addition and Subtraction)

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 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality s + 1 ≥ -5?

Back

Subtract 1 from both sides: s ≥ -6.

Front

When graphing an inequality, what does a closed dot represent?

Back

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

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 < and >).

Front

Determine if x + 14 ≥ 50 is true for x = 5.

Back

TRUE, because 5 + 14 = 19, which is not greater than or equal to 50.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

What is the solution to the inequality x < 6?

Back

The solution includes all numbers less than 6.

Front

What is the first step in solving an inequality?

Back

Identify the inequality symbol and isolate the variable.