Multi-step Inequalities

Front

What is a multi-step inequality?

Back

A multi-step inequality is an inequality that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

How do you express 'twice a number x plus 8 is greater than 12' as an inequality?

Back

2x + 8 > 12.

Front

What is the solution to the inequality 3x - 5 > -26?

Back

x > -7.

Front

What symbol indicates an open dot when graphing an inequality?

Back

< or >.

Front

What is the first step to solve the inequality 2n + 4 < 16?

Back

Subtract 4 from both sides: 2n < 12.

Front

What is the solution to the inequality 2n < 12?

Back

n < 6.

Front

How do you graph the solution set of the inequality 2n + 4 < 16?

Back

Graph a number line, place an open dot at 6, and shade to the left.

Front

What does it mean if an inequality has a closed dot?

Back

A closed dot indicates that the number is included in the solution set (≤ or ≥).

Front

What is the difference between < and ≤ in inequalities?

Back

< means 'less than' and does not include the number, while ≤ means 'less than or equal to' and includes the number.