Solving Multistep Inequalities

Front

What is a multistep inequality?

Back

A multistep inequality is an inequality that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, or division.

Tags

CCSS.6.EE.B.8

Front

How do you isolate a variable in an inequality?

Back

To isolate a variable in an inequality, perform inverse operations on both sides of the inequality, ensuring to reverse the inequality sign when multiplying or dividing by a negative number.

Tags

CCSS.6.EE.B.8

Front

What is the difference between solving an equation and solving an inequality?

Back

When solving an equation, the goal is to find a specific value for the variable. In contrast, solving an inequality results in a range of values that satisfy the inequality.

Tags

CCSS.7.EE.B.4B

Front

What does the inequality symbol '>' mean?

Back

'>' means 'greater than', indicating that the value on the left side is larger than the value on the right side.

Tags

CCSS.6.EE.B.8

Front

What does the inequality symbol '<' mean?

Back

'<'' means 'less than', indicating that the value on the left side is smaller than the value on the right side.

Front

What does the inequality symbol '≤' mean?

Back

'≤' means 'less than or equal to', indicating that the value on the left side is either smaller than or equal to the value on the right side.

Front

What does the inequality symbol '≥' mean?

Back

'≥' means 'greater than or equal to', indicating that the value on the left side is either larger than or equal to the value on the right side.

Tags

CCSS.6.EE.B.8

Front

How do you graph a solution to an inequality on a number line?

Back

To graph a solution to an inequality, use an open circle for '>' or '<' and a closed circle for '≥' or '≤'. Shade the region that represents the solution set.

Tags

CCSS.6.EE.B.8

Front

What is the first step in solving the inequality -3 - 6(4x + 6) > -111?

Back

The first step is to distribute -6 to both terms inside the parentheses: -3 - 24x - 36 > -111.

Front

What is the solution to the inequality 7(x + 3) < 5x + 13?

Back

The solution is x < -4.