Solving Inequalities Using Addition and Subtraction

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, 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 10 ≥ x - 3?

Back

Add 3 to both sides: 10 + 3 ≥ x, which simplifies to 13 ≥ x or x ≤ 13.

Front

What is the first step in solving the inequality s - 10 ≤ 1?

Back

Add 10 to both sides: s - 10 + 10 ≤ 1 + 10, which simplifies to s ≤ 11.

Front

What does a closed circle on a number line indicate when graphing inequalities?

Back

A closed circle indicates that the number is included in the solution (for ≤ or ≥).

Front

What does an open circle on a number line indicate when graphing inequalities?

Back

An open circle indicates that the number is not included in the solution (for < or >).

Front

When solving an inequality, what is the goal?

Back

The goal is to isolate the variable to find its possible values.

Front

If x + 5 < 12, what is the solution for x?

Back

Subtract 5 from both sides: x < 12 - 5, which simplifies to x < 7.

Front

What is the solution to the inequality 3x ≥ 9?

Back

Divide both sides by 3: x ≥ 3.