2-Step Inequalities Review

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the endpoint is included in the solution set.

Front

What does an open circle on a number line indicate?

Back

An open circle indicates that the endpoint is not included in the solution set.

Front

What is the solution to the inequality -3n + 8 < 26?

Back

n > -6

Front

How do you solve the inequality -9a - 1 < 26?

Back

Add 1 to both sides: -9a < 27, then divide by -9 (remember to flip the inequality): a > -3.

Front

What does the inequality 5 ≥ x represent on a number line?

Back

It represents all numbers less than or equal to 5, with a closed circle at 5.

Front

How do you graph the inequality x < -4?

Back

Draw a number line, place an open circle at -4, and shade to the left.

Front

What is the first step in solving the inequality 77 ≤ 5 + 8n?

Back

Subtract 5 from both sides: 72 ≤ 8n.

Front

What is the final solution to the inequality 77 ≤ 5 + 8n?

Back

n ≥ 9.

Front

What does the inequality a < 3 mean?

Back

It means that 'a' can be any number less than 3.

Front

How do you interpret the solution n > -6?

Back

It means that 'n' can be any number greater than -6.