Exploring Writing and Graphing Inequalities

Which of the following symbols represents 'greater than or equal to'?

• >

• <

• ≥

• ≤

If you are hiking on a mountain with a summit of 9,382 feet, which inequality represents the altitude 'a' you must be at?

• a ≥ 9382

• a > 9382

• a < 9382

• a ≤ 9382

For a chemistry experiment, you need to keep the temperature above -6 degrees Celsius. Which inequality represents this condition?

• T ≤ -6

• T ≥ -6

• T > -6

• T < -6

What type of circle is used to graph the inequality 'y > 3'?

• Closed circle

• Dotted circle

• Open circle

• Shaded circle

When graphing 'y ≤ 2', what should you draw on the number line?

• A closed circle on 2 and a line to the right

• An open circle on 2 and a line to the left

• A closed circle on 2 and a line to the left

• An open circle on 2 and a line to the right

Why do we use an open circle for 'y > 3'?

• Because it represents all values equal to 3

• Because it represents all values less than 3

• Because 3 is not included in the solution

• Because 3 is included in the solution

How many solutions does an inequality typically have?

• One

• An infinite number

• A finite number

• Two

Which of the following is true about the solutions to an equation?

• There are infinite solutions

• There is only one solution

• There are no solutions

• There are multiple solutions

In the inequality 'a ≥ -3', which of the following is a solution?

• -5

• -6

• -3

• -4

For the equation 'B + 7 = 9', what is the value of B?

• 4

• 3

• 2

• 1