Two-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. It typically involves addition or subtraction followed by multiplication or division.

Front

What does the symbol '>' mean in an inequality?

Back

'>' means 'greater than'. For example, in the inequality 6 > x, x is less than 6.

Front

What does the symbol '<' mean in an inequality?

Back

'<'' means 'less than'. For example, in the inequality x < 6, x is less than 6.

Front

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

Back

You flip the inequality symbol. For example, if you have -2x > 4 and divide by -2, it becomes x < -2.

Front

How do you solve the inequality 2k + 2.1 ≥ -91.2?

Back

Subtract 2.1 from both sides to get 2k ≥ -93.3, then divide by 2 to find k ≥ -46.65.

Front

What is the first step to solve the inequality 1.50x + 10 ≤ 40?

Back

Subtract 10 from both sides to isolate the term with x: 1.50x ≤ 30.

Front

When graphing the inequality b < 6, what type of circle is used?

Back

An open circle is used because the value 6 is not included in the solution.

Front

What does the solution k ≥ -46.65 represent in a real-world context?

Back

It means that k can be any value greater than or equal to -46.65, indicating a range of acceptable solutions.

Front

How can you check if your solution to an inequality is correct?

Back

You can substitute the solution back into the original inequality to see if it holds true.

Front

What is the significance of the boundary point in an inequality?

Back

The boundary point is the value that separates the solutions from non-solutions. It is included or excluded based on whether the inequality is '≤' or '<'.