Linear Inequalities – Graphing Calculator Explorations



Linear Inequalities – Graphing Calculator Explorations

Directions: Follow the instructions below each graph. Sketch what you see on the screen.

[pic] [pic]

1. Solve the linear inequality 2. Solve the linear inequality

4x + 3 ≥ 6 by graphing each -5x – 6 ≤ -3 by graphing each

side of the inequality and find- side of the inequality and finding

ing where the left side is where the left side is less than

greater than the right side. the right side.

[pic] [pic]

3. Solve the linear inequality 4. Solve the linear inequality

-10x + 17≤ -8x + 13 by producing 8x – 2 ≥ 6x +9 by producing

a zero on the right side of the a zero on the right side of the

inequality, graphing the resulting inequality, graphing the resulting

left side of the inequality , and left side of the inequality, and

finding where the graph is below finding where the graph is above

zero (the x-axis). zero ( the x- axis).

Critical Thinking Question:

Why did Problem #3 instruct to find the solution below the axis and Problem #4

instruct to find the solution above the axis?

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