Question

True or False: The inequality symbol will always "point" toward the direction that the

Answer 1

The statement

"the inequality symbol will always "point" toward the direction that the graph should be shaded."

Is false.

Is the statement true or false?

For an inequality like:

y < k

Where k is a constant, we will shade all the region at the left of the line x = k.

So in cases like this, the symbol correctly points toward the direction that we need to shade.

But in cases like linear equations like:

y < a*x + b

Here the symbol points to the right, which means that the right side is larger than the left side.

Depending on if the slope is positive or negative, we will shade the left or right side of the line, so in this case the symbol does not point towards the direction that should be shaded.

Then we conclude that the statement is false, as this is a counterexample.

If you want to learn more about inqualities:

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