Which region represents the solution to the system of inequalities
Asked by maham237 @ in Mathematics viewed by 329 People
[x+3y_< -3
[ X_>3
Asked by maham237 @ in Mathematics viewed by 329 People
[x+3y_< -3
[ X_>3
Answered by maham237 @
Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the following system of inequalities:
We need to graph the lines.
We have the line:
Solving for "y", we get:
Knowing that and , we can graph it.
Since the symbol is , the line must be solid.
The other line is:
Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.
Since the symbol is , the line must be solid.
We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).
Then:
This is false, therefore, we must shade the half that does not contain this point.
This is false, so we must shade the half that does not contain this point.
The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.
Asked by maham237 @ in Mathematics viewed by 664 persons
Asked by maham237 @ in Mathematics viewed by 320 persons
Asked by maham237 @ in Mathematics viewed by 312 persons
Asked by maham237 @ in Mathematics viewed by 294 persons
Asked by maham237 @ in Mathematics viewed by 431 persons
Asked by admin @ in Mathematics viewed by 376 persons
Asked by maham237 @ in Mathematics viewed by 346 persons
Asked by wiki @ in Mathematics viewed by 716 persons
Asked by admin @ in Mathematics viewed by 358 persons
Asked by admin @ in Mathematics viewed by 305 persons
Asked by admin @ in Mathematics viewed by 337 persons
Asked by admin @ in Mathematics viewed by 291 persons
Asked by admin @ in Mathematics viewed by 322 persons
Asked by admin @ in Mathematics viewed by 329 persons
Asked by admin @ in Mathematics viewed by 306 persons
Asked by maham237 @ in Mathematics viewed by 18373 persons
Asked by admin @ in Mathematics viewed by 8164 persons
Asked by admin @ in Mathematics viewed by 5793 persons
Asked by maham237 @ in Mathematics viewed by 3939 persons
Asked by maham237 @ in Mathematics viewed by 3261 persons
Asked by maham237 @ in Mathematics viewed by 2928 persons
Asked by maham237 @ in Mathematics viewed by 2804 persons
Asked by maham237 @ in Mathematics viewed by 2588 persons
Asked by maham237 @ in Mathematics viewed by 2484 persons
Asked by maham237 @ in Mathematics viewed by 2438 persons
Asked by maham237 @ in Mathematics viewed by 2423 persons
Asked by maham237 @ in Mathematics viewed by 2079 persons
Asked by maham237 @ in Mathematics viewed by 1799 persons