Answer:
The answer is y ≥ x - 3 ⇒ answer (A)
Step-by-step explanation:
* A first we must find the equation of the line
- Lets calculate the slope of the line using any two
points from the graph
∵ (0 , -3) and (3 , 0) o the line
∵ The rule of the slope is (y2 - y1)/(x2 - x1)
∴ m = (0 - -3)/(3 - 0) = 3/3 = 1
∵ The form of the equation is y = mx + c, where m is the slope
and c is the y-intercept
∵ The line cut the y-axis at point (0 , -3)
∴ c = -3
∴ The equation of the line is y = x - 3
* To change to inequality you must to know y ≥ or ≤
- Note: we used ≤ or ≥ because the line is solid (not doted)
- From the table
# The solution (-1 , -3) is over the line
# The solution (0 , -1) is on the line
# The solution (2 , -1) is on the line
# The solution (3 , 1) is over the line
∴ The inequality is y ≥ x - 3
* The answer is (A)
