Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

How do you solve the inequality r - 14 ≥ 17?

Back

Add 14 to both sides: r ≥ 31.

Front

What is the solution to the inequality -11w > -11?

Back

Divide both sides by -11 (remember to flip the inequality): w < 1.

Front

What does the solution a ≤ 25 represent?

Back

It means that 'a' can be any number less than or equal to 25.

Front

How do you solve the inequality 8x < 48?

Back

Divide both sides by 8: x < 6.

Front

What does the number line graph representing x < -4 look like?

Back

An open circle at -4 and a line extending to the left.

Front

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

Back

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

Front

How do you graph the solution of an inequality?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction.

Front

What does the solution x ≥ -3 indicate?

Back

It indicates that 'x' can be any number greater than or equal to -3.