Home > Algebra > Multi-Step Inequalities

How do you solve #(36+ k)/5 <51#?

Answer 1

Nathan Axel

#=> k <219#

#(36+ k)/5 <51# #=>(36+ k) <51xx5# #=>(36+ k) <255# #=> k <255-36# #=> k <219#

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

Answer 2

Genesis Allen

To solve the inequality ((36 + k)/5 < 51), you can follow these steps:

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

[5 \times \frac{{36 + k}}{5} < 51 \times 5]

Simplify:

[36 + k < 255]

Subtract 36 from both sides to isolate (k):

[k < 255 - 36]

Simplify:

[k < 219]

So, the solution to the inequality is (k < 219).

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 #(36+ k)/5 &lt;51#?

How do you solve #(36+ k)/5 <51#?