Inequality Test

Front

What is an inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that one value is either less than or equal to another.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that one value is either greater than or equal to another.

Front

How do you solve the inequality x - 14 < -8?

Back

Add 14 to both sides: x < 6.

Front

What is the solution to the inequality a - 6 ≤ 15 + 8a?

Back

Rearranging gives: -6 - 15 ≤ 8a - a, which simplifies to a ≥ -3.

Front

If Joe needs to spend at least $50, what inequality represents this situation?

Back

Front

What is the first step in solving the inequality 2x + 3 > 7?

Back

Subtract 3 from both sides: 2x > 4.

Front

How do you isolate x in the inequality 3x ≤ 12?

Back

Divide both sides by 3: x ≤ 4.

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values that satisfy the inequality, often resulting in a contradiction.

Front

What is the graphical representation of the inequality x < 5?

Back

A number line with an open circle at 5 and a line extending to the left.