One & Two Step 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 in inequalities?

Back

'≥' means 'greater than or equal to'.

Front

How do you solve the inequality y + 7 ≥ 12?

Back

Subtract 7 from both sides to get y ≥ 5.

Front

What is the first step to solve the inequality 7n - 1 > 76?

Back

Add 1 to both sides to isolate the term with n.

Front

What does the solution x < 6 indicate about the values of x?

Back

It indicates that x can be any number less than 6.

Front

How do you graph the inequality 8x < 48?

Back

First, solve for x to get x < 6, then draw a number line and shade to the left of 6, using an open circle at 6.

Front

What value of x makes the inequality 11 + 2x < 13 true?

Back

x = -10.

Front

What does the inequality b > 11.3 mean?

Back

It means that b can be any number greater than 11.3.

Front

How do you check if a number is a solution to an inequality?

Back

Substitute the number into the inequality and see if the statement is true.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (e.g., <, >) does not include the boundary value, while a non-strict inequality (e.g., ≤, ≥) does include it.