# How do you graph the system #-4x > -24# and #10x+5y<20#?

First graph the lines 4x=24 and 10x+5y=20. The graph of the region would be that lying the left of both 4x=24 and 10x+5y=20. The graph would look like this

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To graph the system -4x > -24 and 10x + 5y < 20:

For the inequality -4x > -24:

- Divide both sides by -4 to isolate x: x < 6.
- Plot a dashed vertical line at x = 6 on the coordinate plane, indicating that x is less than 6.

For the inequality 10x + 5y < 20:

- Rearrange the inequality to isolate y: y < -2x + 4.
- Plot the line y = -2x + 4 on the coordinate plane.
- Shade the region below the line to represent the inequality y < -2x + 4.

The shaded region below the line y = -2x + 4 and to the left of the dashed line x = 6 represents the solution to the system.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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