Solving inequalities (Skill Check Test)

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 the symbol '≤' represent in an inequality?

Back

The symbol '≤' means 'less than or equal to'.

Front

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

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides to get x ≤ 8.

Front

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

Back

The inequality sign flips when you multiply or divide both sides by a negative number.

Front

What is the solution to the inequality -4x ≥ 10?

Back

Divide both sides by -4 (flipping the sign) to get x ≤ -2.5.

Front

How do you graph the inequality x < -2?

Back

Draw a number line, place an open circle at -2, and shade to the left to indicate all numbers less than -2.

Front

What is the solution to the inequality 4x - 3 < -1x + 12?

Back

Combine like terms to get 5x < 15, then divide by 5 to find x < 3.

Front

How can you express Erin's reading speed of at least 80 words per minute as an inequality?

Back

The inequality is x ≥ 80, where x represents the number of words read per minute.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary point, while non-strict inequalities (≤, ≥) do include the boundary point.