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 combining like terms, distributing, and isolating the variable.

Front

How do you solve the inequality 6x + 2 + 6x < 14?

Back

Combine like terms to get 12x + 2 < 14, then subtract 2 from both sides to get 12x < 12, and finally divide by 12 to find x < 1.

Front

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

Back

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

Front

What is the solution to the inequality 6(n + 2) < -72?

Back

First, distribute to get 6n + 12 < -72. Then, subtract 12 from both sides to get 6n < -84, and finally divide by 6 to find n < -14.

Front

What is the first step in solving the inequality 18 ≥ 5k + 4k?

Back

Combine like terms on the right side to get 18 ≥ 9k.

Front

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

Back

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

Front

How do you isolate the variable in the inequality 9k ≤ 18?

Back

Divide both sides by 9 to find k ≤ 2.

Front

What is the solution to the inequality 6x + 2 + 6x < 14?

Back

x < 1.

Front

What is the importance of reversing the inequality sign?

Back

The inequality sign must be reversed when multiplying or dividing both sides of the inequality by a negative number.

Front

What is an example of a multistep inequality?

Back

An example is 3(x - 1) + 4 < 2x + 5.