Unit 3 Review (Equations and 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 the symbol '≥' represent?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality -3m + 5 ≥ 14?

Back

To solve -3m + 5 ≥ 14, subtract 5 from both sides to get -3m ≥ 9, then divide by -3 (remember to flip the inequality sign) to find m ≤ -3.

Front

What is the first step in solving the inequality -3x ≥ 12?

Back

The first step is to divide both sides by -3, which requires flipping the inequality sign, resulting in x ≤ -4.

Front

What does it mean to 'flip the sign' in an inequality?

Back

Flipping the sign means to reverse the direction of the inequality when multiplying or dividing both sides by a negative number.

Front

What is the solution to the equation x + 2 = 5?

Back

The solution is x = 3.

Front

How do you graph the inequality x < 4?

Back

To graph x < 4, draw a number line, place an open circle at 4, and shade to the left to indicate all numbers less than 4.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What does the solution set of an inequality represent?

Back

The solution set of an inequality represents all the values that satisfy the inequality.