One and Two 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 it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the solution to the inequality -9a - 1 < 26?

Back

a > -3

Front

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

Back

The inequality symbol flips (changes direction).

Front

Solve for t: 6t + 4 ≤ -2.

Back

t ≤ -1

Front

What is the solution to the equation r/5 - 15 = 18?

Back

r = 165

Front

What is a one-step inequality?

Back

A one-step inequality is an inequality that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

Front

What is a two-step inequality?

Back

A two-step inequality requires two operations to isolate the variable.

Front

How do you graph an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction.

Front

What does the symbol ≤ mean?

Back

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