Exploring Inequalities Through Addition and Subtraction

What is the first step in solving the inequality t + 3 < 10?

• Divide both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

What type of circle is used on the number 7 when graphing t + 3 < 10?

• Closed circle

• Open circle

• Dotted circle

• No circle

In the inequality x + 2.2 ≤ 9, what is the correct operation to isolate x?

• Multiply both sides by 2.2

• Subtract 2.2 from both sides

• Divide both sides by 2.2

• Add 2.2 to both sides

What is the graph representation when x is greater than or equal to 9?

• Arrow pointing down

• Arrow pointing left

• Arrow pointing right

• Arrow pointing up

Which type of circle is used at 9 when graphing x + 2.2 ≤ 9?

• No circle

• Closed circle

• Open circle

• Dotted circle

When the variable is on the right side, as in 5 - 7 > v, what is the first step?

• Add 7 to both sides

• Subtract 5 from both sides

• Subtract 7 from both sides

• Add 5 to both sides

How should the inequality -2 > v be rewritten for clarity?

• v ≠ -2

• v = -2

• v > -2

• v < -2

What direction does the arrow point when graphing v < -2?

• Up

• Left

• Down

• Right

What type of circle is used at -2 when graphing v < -2?

• Closed circle

• Open circle

• Dotted circle

• No circle

What is the graphical representation of an inequality where the variable is less than a number?

• Arrow pointing to the right

• Arrow pointing downwards

• Arrow pointing to the left

• Arrow pointing upwards