Home > Algebra > Inequalities with Multiplication and Division

How do you solve #-8> k/-0.4#?

Answer 1

Savannah Anderson

#k>3.2#, representing real numbers greater than 3.2.

Multiplication of both sides of an inequality by a negative number

reverses the inequality sign. If #a> b, -a<-b#

Multiplication by #-0.4# of #-8>k/(-0.4)# turns it to

#(-8)(-0.4) < k #.

So, #k>3.2#.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Genesis Allen

To solve the inequality -8 > k / -0.4:

Multiply both sides by -0.4 to get rid of the fraction.
When multiplying or dividing by a negative number, reverse the inequality sign.

The steps are as follows:

-8 * (-0.4) < k
3.2 < k

So, the solution is k > 3.2.

By signing up, you agree to our Terms of Service and Privacy Policy

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 #-8&gt; k/-0.4#?

How do you solve #-8> k/-0.4#?