# How do you graph the inequality #x> -1# or #x<5#?

The inequalities mean that

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To graph the inequality (x > -1) or (x < 5):

- Draw a number line.
- Mark a point at -1 and shade to the right, indicating all values greater than -1.
- Mark a point at 5 and shade to the left, indicating all values less than 5.
- The shaded regions from steps 2 and 3 represent the solutions to the inequality.
- Since the inequality includes "or," the shaded regions are combined.

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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.

- Which x values do you choose to create a #(x, y)# table for #y=|x+5| #?
- How do you graph the inequality #7x+1<15#?
- In the same coordinate plane, graph y= lxl + k for k= -2, 0, 2. What effect does k have on the graph of y= lxl +k ? what is the vertex of the graph y= lxl +k?
- How do you solve #14< 5p + 4< 34#?
- How do you find the slope of #Y= -2|x-4|#?

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