Two-Step Inequalities REVIEW

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 7n - 1 > 76?

Back

Add 1 to both sides: 7n > 77. Then divide by 7: n > 11.

Front

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

Back

The inequality sign flips (changes direction).

Front

Solve the inequality -9a - 1 < 26.

Back

Add 1 to both sides: -9a < 27. Then divide by -9 (flip the sign): a > -3.

Front

What is the solution to the inequality 7k - 2 ≥ -9?

Back

Add 2 to both sides: 7k ≥ -7. Then divide by 7: k ≥ -1.

Front

Write an inequality for the maximum speed limit of 55 mph.

Back

s ≤ 55, where s is the speed.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means to represent the solutions on a number line, using an open or closed dot to indicate whether the endpoint is included.

Front

What is the solution set for the inequality x + 4 < 10?

Back

x < 6.