One Step 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 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 m - 9 ≤ 20?

Back

Add 9 to both sides to isolate m: m ≤ 29.

Front

What is the solution to the inequality 8x < 48?

Back

Divide both sides by 8: x < 6.

Front

How do you graph the solution of an inequality?

Back

Use a number line; use an open circle for < or > and a closed circle for ≤ or ≥.

Front

What is the solution to the inequality -4 + y < -8?

Back

Add 4 to both sides: y < -4.

Front

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

Back

It means to get the variable alone on one side of the inequality.

Front

What is the first step to solve the inequality y + 5 ≥ 2?

Back

Subtract 5 from both sides: y ≥ -3.

Front

How do you interpret the solution x > 6 on a number line?

Back

Shade the region to the right of 6, indicating all numbers greater than 6.