Graph the solutions to each inequality
3.) y>2
4.)x>-4
my answer is B, but I think I'm wrong...
*answers*
1)D
2)A
3)B
4)C
all correct I've done this lesson!
*and 4.) is A I belive
Wrong, I got a 0 percent.
unit 5 lesson 9
graphing and writing inequalities
1. A
2. B
3. A
4. D
To graph the solutions to an inequality, we represent the solutions as a shaded region on a number line. The shaded region includes all the values that satisfy the inequality.
Let's graph the solutions to each inequality step by step.
3.) y > 2:
To graph the inequality y > 2, we first draw a number line. Then, we locate the point where y = 2 on the number line. We can represent this point by placing a closed dot on the number line above the number 2.
Next, to determine which side of the number line to shade, we look at the inequality symbol. In this case, y is greater than 2, so we shade the region above the dot indicating y = 2. We use an arrow pointing upwards to indicate that the values are greater than 2.
The final graph for y > 2 would be a number line with a closed dot on 2 and an arrow pointing upwards from the dot.
4.) x > -4:
Similarly, for x > -4, we draw a number line and locate -4 on the number line. We represent -4 with a closed dot on the number line.
Since x is greater than -4, we shade the region to the right of the dot. We use an arrow pointing towards the right to indicate that the values are greater than -4.
The final graph for x > -4 would be a number line with a closed dot on -4 and an arrow pointing towards the right from the dot.
Remember, the shaded region represents the solutions to the inequality. In these examples, it represents all the values of y that are greater than 2 (y > 2) and all the values of x that are greater than -4 (x > -4).