Solving One Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality on a number line, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the region that represents the solution set.

Front

What is the solution to the inequality -2x < 62?

Back

The solution is x > -31.

Front

How do you isolate a variable in an inequality?

Back

To isolate a variable in an inequality, perform the same operations on both sides of the inequality, just as you would in an equation, but remember to reverse the inequality sign if you multiply or divide by a negative number.

Front

What happens to the inequality sign when you multiply or divide both sides by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign.

Front

What does it mean for a value to satisfy an inequality?

Back

A value satisfies an inequality if, when substituted into the inequality, the resulting statement is true.

Front

For the inequality 11x > 33, what is the value of x?

Back

The value of x is greater than 3.

Front

How do you check if a value satisfies an inequality?

Back

To check if a value satisfies an inequality, substitute the value into the inequality and see if the resulting statement is true.

Front

What is the solution to the inequality -45 > -3k when k = 15?

Back

The statement is not true because substituting k = 15 gives -45 > -45, which is false.