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How do you solve and graph #k/5<=-17 #?

Answer 1

Julia Adams

#k <= -85#

#k/5 <= -17#

To solve this, multiply both sides by #color(blue)5#:
#k/5 color(blue)(*5) <= -17 color(blue)(*5)#

#k <= -85#

This can be said as "#k# is less than or equal to #-85#."

Here is a graph of it on a number line:

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Answer 2

Ethan Adkins

To solve the inequality k/5 ≤ -17:

Multiply both sides of the inequality by 5 to eliminate the fraction:

k ≤ -17 * 5

Simplify the expression:

k ≤ -85

This inequality states that k is less than or equal to -85.

To graph this inequality on a number line:

Draw a horizontal line representing the number line.
Mark -85 on the number line.
Shade the portion of the number line to the left of -85, including -85, to represent all values of k that satisfy the inequality k ≤ -85.

The graph should show a shaded region to the left of -85 on the number line.

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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 solve and graph #k/5&lt;=-17 #?

How do you solve and graph #k/5<=-17 #?