# How do you solve and graph #abs(10-3x)>=17#?

The solution is

This is an inequality with absolute values

Therefore,

The solution is

The graph is

graph{|10-3x|-17 [-25.5, 25.83, -17.22, 8.43]}

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To solve and graph the inequality |10 - 3x| ≥ 17:

- Split the inequality into two separate cases: 10 - 3x ≥ 17 and 10 - 3x ≤ -17.
- Solve each inequality separately for x.
- Plot the solutions on a number line.
- Shade the regions where the inequality holds true.
- The resulting graph will depict the solution set for the absolute value inequality.

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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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