GVMS - Graph and Solve one - 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

How do you solve a one-step inequality?

Back

To solve a one-step inequality, isolate the variable on one side of the inequality by performing the same operation on both sides, while remembering to reverse the inequality sign if you multiply or divide by a negative number.

Front

What does the symbol '>' represent in inequalities?

Back

'>' means 'greater than'. For example, x > 5 means x is any number greater than 5.

Front

What does the symbol '<' represent in inequalities?

Back

'<'' means 'less than'. For example, x < 3 means x is any number less than 3.

Front

What does the symbol '≥' represent in inequalities?

Back

'≥' means 'greater than or equal to'. For example, x ≥ 4 means x is any number greater than or equal to 4.

Front

What does the symbol '≤' represent in inequalities?

Back

'≤' means 'less than or equal to'. For example, x ≤ 2 means x is any number less than or equal to 2.

Front

How do you graph the inequality x < 3?

Back

To graph x < 3, draw a number line, place an open circle at 3 (indicating that 3 is not included), and shade to the left to show all numbers less than 3.

Front

What is the difference between an open circle and a closed circle on a number line?

Back

An open circle indicates that the number is not included in the solution (e.g., x < 3), while a closed circle indicates that the number is included (e.g., x ≤ 3).

Front

How do you solve the inequality x/25 < 28?

Back

Multiply both sides by 25 to isolate x: x < 28 * 25, which simplifies to x < 700.

Front

How do you solve the inequality n/3 ≥ 9?

Back

Multiply both sides by 3 to isolate n: n ≥ 9 * 3, which simplifies to n ≥ 27.