Solving One-Step Adding/Subtracting Inequalities

Front

What is an inequality?

Back

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

Front

How do you solve the inequality m - 9 ≤ 20?

Back

Add 9 to both sides to isolate m: m ≤ 29.

Front

What does the inequality x + 5 > 7 represent?

Back

It represents that x must be greater than 2.

Front

How do you interpret the inequality 2.75 < d?

Back

It means that d is any number greater than 2.75.

Front

What is the solution to the inequality -24 + k ≤ 10?

Back

k must be less than or equal to 34.

Front

How do you check if a value satisfies the inequality x + 9 > 21 when x = 15?

Back

Substitute 15 into the inequality: 15 + 9 > 21 is true.

Front

What does the symbol '≤' mean in an inequality?

Back

It means 'less than or equal to'.

Front

What does the symbol '>' mean in an inequality?

Back

It means 'greater than'.

Front

How do you graph the inequality x > 2?

Back

Draw a number line, place an open circle at 2, and shade to the right.

Front

What is the first step in solving the inequality 3x - 4 < 5?

Back

Add 4 to both sides to isolate the term with x.