One and Two Step Inequalities (6/27)

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

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

What is the difference between < and ≤?

Back

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

Front

What is the difference between > and ≥?

Back

The symbol > means 'greater than' and does not include the value, while ≥ means 'greater than or equal to' and includes the value.

Front

How do you solve the inequality 2k - 9 ≤ -19?

Back

Add 9 to both sides to get 2k ≤ -10, then divide by 2 to find k ≤ -5.

Front

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

Back

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

Front

What is the solution to the inequality -3x ≥ 12?

Back

Divide both sides by -3 (flipping the sign) to get x ≤ -4.

Front

How do you check if a number is a solution to an inequality?

Back

Substitute the number into the inequality and see if the statement is true.

Front

What is the solution to the inequality 5p + 2 < 27?

Back

Subtract 2 from both sides to get 5p < 25, then divide by 5 to find p < 5.

Front

What does it mean to graph an inequality on a number line?

Back

Graphing an inequality involves drawing a line or shading a region on a number line to represent all possible solutions.