Solving and Graphing Inequalities Challenge

What is the first step in solving an inequality?

• Add the same number to both sides

• Subtract the same number from both sides

• Treat it like an equation and balance both sides

• Multiply both sides by the same number

What is the solution to the inequality 17 + s > 54?

• s > 37

• s < 37

• s ≥ 37

• s ≤ 37

How do you graph the inequality s > 37?

• Use an open circle at 37 and draw an arrow to the left

• Use an open circle at 37 and draw an arrow to the right

• Use a closed circle at 37 and draw an arrow to the right

• Use a closed circle at 37 and draw an arrow to the left

What is the solution to the inequality 3.3 + J ≤ 19.3?

• J < 16

• J ≤ 16

• J > 16

• J ≥ 16

How do you graph the inequality J ≤ 16?

• Use an open circle at 16 and draw an arrow to the left

• Use a closed circle at 16 and draw an arrow to the right

• Use an open circle at 16 and draw an arrow to the right

• Use a closed circle at 16 and draw an arrow to the left

What is the solution to the inequality Q/2 < 125?

• Q ≥ 250

• Q ≤ 250

• Q > 250

• Q < 250

How do you graph the inequality Q < 125?

• Use a closed circle at 125 and draw an arrow to the right

• Use an open circle at 125 and draw an arrow to the right

• Use an open circle at 125 and draw an arrow to the left

• Use a closed circle at 125 and draw an arrow to the left

What is the solution to the inequality J - 21 < 42?

• J ≤ 63

• J > 63

• J < 63

• J ≥ 63

How do you eliminate a fraction in an inequality?

• Multiply by the inverse of the fraction

• Subtract the fraction from both sides

• Add the fraction to both sides

• Divide by the fraction

What is the solution to the inequality F/2 ≥ 54?

• F > 108

• F < 108

• F ≤ 108

• F ≥ 108