3.2 Add/Sub. 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, or equal to the other.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality s + 9 ≥ 25?

Back

Subtract 9 from both sides: s ≥ 16.

Front

What is the solution to the inequality y - 4 < -8?

Back

Add 4 to both sides: y < -4.

Front

If all students must get at least a 60% to pass, how is this represented in inequality form?

Back

x ≥ 60.

Front

How do you solve the inequality r - 142 ≥ 171?

Back

Add 142 to both sides: r ≥ 313.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

How can you check if a solution to an inequality is correct?

Back

Substitute the solution back into the original inequality to see if it holds true.