Solving inequalities Flashcard

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

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality -5x ≥ 30?

Back

Divide both sides by -5 and reverse the inequality sign: x ≤ -6.

Front

What is the solution to the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

How do you solve the inequality 8m - 9 > 71?

Back

Add 9 to both sides and then divide by 8: m > 10.

Front

What does a closed circle on a number line represent?

Back

A closed circle represents that the number is included in the solution (≤ or ≥).

Front

What does an open circle on a number line represent?

Back

An open circle represents that the number is not included in the solution (< or >).

Front

If x < 2, what does this mean on a number line?

Back

It means all numbers less than 2 are included in the solution.

Front

What is the solution to the inequality x ≤ 2?

Back

All numbers less than or equal to 2 are included in the solution.