Solving Inequalities

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 '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 y + 7 ≥ 12?

Back

Subtract 7 from both sides: y ≥ 5.

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 -6a ≥ -36?

Back

Divide both sides by -6 (remember to flip the inequality): a ≤ 6.

Front

How do you solve the inequality -5m < 10?

Back

Divide both sides by -5 (remember to flip the inequality): m > -2.

Front

What does it mean to graph an inequality on a number line?

Back

It means to represent the solution set of the inequality visually, showing all possible values that satisfy the inequality.

Front

What is the solution set for the inequality x - 3 > -3?

Back

Add 3 to both sides: x > 0.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary point, while non-strict inequalities (≤, ≥) do include it.