Graphing, Translating, & Solving One-Step Inequalities

Front

What is an inequality?

Back

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

Front

How do you translate the phrase 'a number is greater than or equal to -3' into an inequality?

Back

x ≥ -3

Front

Translate the phrase 'a number is less than 15' into an inequality.

Back

x < 15

Front

What is the solution to the inequality 8x < 48?

Back

x < 6

Front

How do you represent the inequality 'b is less than or equal to -2' graphically?

Back

The graph will include a closed circle at -2 and shade to the left.

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 3x + 5 > 14?

Back

Subtract 5 from both sides to get 3x > 9, then divide by 3 to find x > 3.

Front

What is the first step in solving the inequality 2x - 4 ≤ 10?

Back

Add 4 to both sides to get 2x ≤ 14.

Front

What is the solution to the inequality x/6 < 41?

Back

x < 246 (multiply both sides by 6).