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, typically involving addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality 7n - 1 > 76?

Back

To solve, first add 1 to both sides: 7n > 77. Then divide by 7: n > 11.

Front

What does a closed circle on a graph indicate?

Back

A closed circle indicates that the number is included in the solution set, used for inequalities with ≥ or ≤.

Front

What does an open circle on a graph indicate?

Back

An open circle indicates that the number is not included in the solution set, used for inequalities with > or <.

Front

How do you graph the inequality r ≥ -6?

Back

Draw a number line, place a closed circle on -6, and shade to the right to indicate all numbers greater than or equal to -6.

Front

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

Back

First, subtract 2 from both sides: 9 > -3y. Then divide by -3 (remember to flip the inequality): y < -3.

Front

What is the general form of a two-step inequality?

Back

The general form is ax + b < c or ax + b > c, where a, b, and c are constants.

Front

How do you check your solution for an inequality?

Back

Substitute the solution back into the original inequality to see if it holds true.

Front

What is the difference between solving equations and inequalities?

Back

Inequalities involve a range of solutions and may require flipping the inequality sign when multiplying or dividing by a negative number.

Front

What does the solution x < -20 represent on a number line?

Back

It represents all numbers to the left of -20, not including -20 itself.