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How do you graph the inequality #-7k < 63#?

Answer 1

#k > -9#

Before we graph it, let's solve it.

To solve for #k#, we need to divide both sides by #-7#. However, when we multiply or divide in an inequality expression, the inequality sign changes to its opposite. In this example, the #<# will become a #>#.

#(-7k)/color(blue)(-7) color(blue)(>) 63/color(blue)(-7)#

#k > -9#

Here's a graph of it on a number line:

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Answer 2

Ethan Adkins

To graph the inequality -7k < 63:

Start by isolating the variable k. To do this, divide both sides of the inequality by -7. Remember, when dividing by a negative number, the direction of the inequality sign flips.

-7k / -7 > 63 / -7

k > -9
Now, graph the line k = -9. Since it's "greater than," the line should be dashed (not solid) to indicate that points on the line are not included in the solution set.
Since the inequality is asking for k to be greater than -9, shade the area to the right of the dashed line.

That's how you graph the inequality -7k < 63.

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Answer from HIX Tutor

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.

How do you graph the inequality #-7k &lt; 63#?

How do you graph the inequality #-7k < 63#?