85.2k views
5 votes
Create a balti-stel inequality with a solution greater than or equal to -4. Graph the inequality as well.

a) (3x + 2y ≥ -4)
b) (-2x + 5y ≤ -4)
c) (4x - 3y > -4)
d) (-5x - 2y ≥ -4)

1 Answer

3 votes

Final answer:

Choose option d (-5x - 2y ≥ -4) as a Balti-stel inequality with solutions greater than or equal to -4. Plot the line for equality and shade the region that satisfies the inequality, making sure the shaded area represents where the inequality holds true.

Step-by-step explanation:

To create a Balti-stel with a solution greater than or equal to -4, we can choose option d) (-5x - 2y ≥ -4).

This inequality indicates that the combined values of -5 times x and -2 times y are always greater than or equal to -4. To graph this inequality, you would plot the line -5x - 2y = -4 and then shade the region that satisfies the inequality (above the line if y is positive, and below the line if y is negative).

For example, when x=0, solving for y gives us y ≥ 2. Similarly, if y=0, solving for x gives us x ≥ 0.8.

These points can be used to plot the line, and the side of the line where the inequality holds will be the solution set for the inequality.

User Charod
by
7.5k points