Solving 2 Step Inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. For example, in the inequality 2x + 3 < 7, you would first subtract 3 from both sides and then divide by 2.

Front

How do you solve the inequality 6t + 4 ≤ -2?

Back

To solve 6t + 4 ≤ -2, first subtract 4 from both sides to get 6t ≤ -6. Then, divide both sides by 6 to find t ≤ -1.

Front

What does an open circle represent on a number line?

Back

An open circle on a number line indicates that the number is not included in the solution set. For example, for the inequality x < 5, you would use an open circle at 5.

Front

What does a closed circle represent on a number line?

Back

A closed circle on a number line indicates that the number is included in the solution set. For example, for the inequality x ≤ 5, you would use a closed circle at 5.

Front

How would you graph the inequality b < 6?

Back

You would use an open circle at 6 and shade to the left to indicate all numbers less than 6.

Front

What is the solution to the inequality -3y + 2 > 11?

Back

To solve -3y + 2 > 11, first subtract 2 from both sides to get -3y > 9. Then, divide by -3 and reverse the inequality sign to find y < -3.

Front

What does the inequality x < -4 look like on a number line?

Back

The graph of x < -4 would have an open circle at -4 and be shaded to the left.

Front

What is the first step in solving the inequality 4x - 5 < 11?

Back

The first step is to add 5 to both sides, resulting in 4x < 16.

Front

What is the solution to the inequality 2x + 3 ≥ 7?

Back

To solve 2x + 3 ≥ 7, subtract 3 from both sides to get 2x ≥ 4, then divide by 2 to find x ≥ 2.

Front

How do you represent the solution x > 3 on a number line?

Back

You would use an open circle at 3 and shade to the right to indicate all numbers greater than 3.