Solving single step inequalities

Front

What is a single-step inequality?

Back

A single-step inequality is an inequality that can be solved in one step, typically involving addition, subtraction, multiplication, or division to isolate the variable.

Front

How do you represent the solution of an inequality on a number line?

Back

The solution of an inequality is represented on a number line using an open circle for 'less than' or 'greater than' and a closed circle for 'less than or equal to' or 'greater than or equal to'.

Front

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

Back

'≤' means 'less than or equal to', indicating that the value can be either less than or exactly equal to the number.

Front

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

Back

'≥' means 'greater than or equal to', indicating that the value can be either greater than or exactly equal to the number.

Front

When solving the inequality r - 14 ≥ 17, what is the first step?

Back

The first step is to add 14 to both sides of the inequality to isolate r.

Front

What is the solution to the inequality a > 6?

Back

The solution to the inequality a > 6 is all values of a that are greater than 6.

Front

How do you determine whether to use an open or closed circle when graphing an inequality?

Back

Use an open circle for inequalities that do not include the endpoint (e.g., < or >) and a closed circle for inequalities that do include the endpoint (e.g., ≤ or ≥).

Front

What is the solution to the inequality c < 9?

Back

The solution to the inequality c < 9 is all values of c that are less than 9.

Front

What is the difference between 'less than' and 'less than or equal to'?

Back

'Less than' (<) means the value cannot equal the number, while 'less than or equal to' (≤) means the value can equal the number.

Front

What does it mean to 'solve' an inequality?

Back

To 'solve' an inequality means to find all possible values of the variable that make the inequality true.