Solving Equations and Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the equation 4x - 6 = 2?

Back

Add 6 to both sides to get 4x = 8, then divide by 4 to find x = 2.

Front

What is the first step in solving the inequality 7n - 1 > 76?

Back

Add 1 to both sides to get 7n > 77.

Front

What is the solution to the inequality 2x + 10 ≤ 25?

Back

Subtract 10 from both sides to get 2x ≤ 15, then divide by 2 to find x ≤ 7.5.

Front

When graphing the inequality x < 3, what type of dot is used?

Back

An open dot is used when graphing x < 3.

Front

What is the solution to the equation 3x + 9 = 0?

Back

Subtract 9 from both sides to get 3x = -9, then divide by 3 to find x = -3.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means to represent the solutions of the inequality on a number line.

Front

What is the solution to the equation 5x - 15 = 0?

Back

Add 15 to both sides to get 5x = 15, then divide by 5 to find x = 3.