Solving Inequalities Flashcard

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

You must flip the inequality sign.

Front

Solve the inequality: -3x ≥ 12

Back

x ≤ -4

Front

What does the solution set of an inequality represent on a number line?

Back

It shows all the values that satisfy the inequality.

Front

Solve and graph the inequality: 77 ≤ 5 + 8n

Back

n ≥ 9

Front

What is the first step to solve the inequality: 2x ≤ -6?

Back

Divide both sides by 2 to isolate x.

Front

If x + 11 ≥ 23, what is the value of x?

Back

x ≥ 12

Front

What does the symbol '≤' mean in an inequality?

Back

It means 'less than or equal to'.

Front

How do you represent the solution to the inequality x < 24 on a number line?

Back

Draw an open circle at 24 and shade to the left.

Front

What is the solution to the inequality: 5n + 3 < 18?

Back

n < 3.

Front

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

Back

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