Understanding Inequalities

What does the symbol '<=' represent in an inequality?

• Greater than

• Less than or equal to

• Greater than or equal to

• Less than

How is an inequality with a 'greater than' symbol represented on a number line?

• With a filled circle

• With an open circle

• With a dashed line

• With a shaded area

When graphing x < 3 on a number line, what type of circle is used at 3?

• Filled circle

• Double circle

• Open circle

• No circle

What operation would you perform to isolate x in the inequality x - 5 > -4?

• Subtract 5 from both sides

• Add 5 to both sides

• Multiply both sides by 5

• Divide both sides by 5

In the inequality w - 9 <= 3, what is the first step to solve for w?

• Multiply both sides by 9

• Subtract 9 from both sides

• Add 9 to both sides

• Divide both sides by 9

How do you rearrange the inequality 2 >= x + 7 to have x on the left?

• x <= 2 - 7

• x <= 2 + 7

• x >= 2 - 7

• x >= 2 + 7

What happens to the inequality symbol when you rearrange 2 >= x to x on the left?

• It becomes an equal sign

• It stays the same

• It disappears

• It flips direction

In a word problem, if a bag can weigh no more than 50 pounds and currently weighs 16.8 pounds, what inequality represents the additional weight (w) that can be added?

• w + 16.8 >= 50

• w + 16.8 < 50

• w + 16.8 <= 50

• w + 16.8 > 50

If a bag weighs 16.8 pounds and the maximum allowed weight is 50 pounds, how much more weight can be added?

• 32.2 pounds

• 34.2 pounds

• 33.2 pounds

• 35.2 pounds

What is the solution to the inequality 16.8 + w <= 50?

• w > 33.2

• w < 33.2

• w >= 33.2

• w <= 33.2