Question

interpreting inequalities card match
student recording document
part 1: use cards on pastel cardstock.
1.5x + 0.5 > 3.5
inequality and
algebraic work
solution
statement
graph
part 2: use the cards on white cardstock.
a member of
the solution
set
(from cards)
another
member of the
solution set
(on your own)

Explanation:

Step1: Solve the inequality

$$\begin{align*} 1.5x + 0.5&>3.5\\ 1.5x&>3.5 - 0.5\\ 1.5x&>3\\ x&>\frac{3}{1.5}\\ x&>2 \end{align*}$$

Step2: Graph the solution

On a number - line, draw an open circle at \(x = 2\) (because \(x>2\) and \(2\) is not included in the solution set) and draw an arrow to the right of \(2\) to represent all values of \(x\) greater than \(2\).

Step3: Provide a member of the solution set

For example, \(x = 3\) is a member of the solution set since \(3>2\).

Step4: Provide another member of the solution set

Another example, \(x = 4\) is also a member of the solution set as \(4>2\).

Answer:

• Solution Statement: \(x>2\)
• Graph: Open circle at \(2\) with a right - pointing arrow on the number - line.
• A Member of the Solution Set (from cards): \(3\) (assuming a card with value \(3\) is available)
• Another Member of the Solution Set (on your own): \(4\)