Solving and Graphing Inequalities Challenge

What symbol is used on a number line for inequalities that are strictly greater than or less than?

• Arrow

• Square

• Open circle

• Closed circle

What does an open circle on a number line represent?

• Equal to

• Greater than or equal to

• Less than or equal to

• Strictly greater than

What is the first step in solving the inequality 2x + 7 > 11?

• Subtract 7 from both sides

• Divide by the coefficient

• Draw a number line

• Multiply by 2

After isolating the variable in 2x + 7 > 11, what is the solution for x?

• x > 4

• x < 2

• x ≤ 2

• x > 2

Which of the following is a correct step in solving inequalities?

• Only subtract constants

• Perform the same operation on both sides

• Only add constants

• Ignore the coefficient

In the inequality 5 < 3x + 7, what operation is performed first?

• Multiply by 3

• Divide by 3

• Subtract 7 from both sides

• Add 7 to both sides

How is the inequality 5 < 3x + 7 graphed on a number line?

• Open circle on -2/3

• Closed circle on 2/3

• Closed circle on -2/3

• Open circle on 2/3

What is the result of subtracting 7 from both sides in the inequality 5 < 3x + 7?

• 2 > 3x

• -2 > 3x

• 2 < 3x

• -2 < 3x

What is the solution to the inequality 5h - 4 ≥ 11?

• h ≤ 3

• h < 3

• h > 3

• h ≥ 3

How do you graph the solution to 5h - 4 ≥ 11 on a number line?

• Open circle on -3

• Closed circle on 3

• Closed circle on -3

• Open circle on 3