Solving One Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, 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 inequality z ≤ 9?

Back

To solve z ≤ 9, you identify all values of z that are less than or equal to 9.

Front

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

Back

The solution is x < 6.

Front

How do you isolate the variable in the inequality r - 14 ≥ 17?

Back

Add 14 to both sides to get r ≥ 31.

Front

What is the solution to the inequality x + 5 > 7?

Back

The solution is x > 2.

Front

What does it mean to graph an inequality on a number line?

Back

Graphing an inequality on a number line shows all the possible solutions, using an open or closed dot to indicate whether the endpoint is included.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoint, while non-strict inequalities (≤, ≥) do include the endpoint.

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.