five more than twice a number is less than negative nineteen. Find all numbers that make this statement true

Question

please help solve and explain this word problem to me.

Answer 1

Let's write this mathematically form left to right:

 

Five (5) more (+) than twice (2×) a number (n) is less than (<) negative nineteen (-19).

 

So that's

 

5 + (2×n) < -19

5 + 2n < -19

 

Now we have to solve for n to find the all of numbers (n) that make this true.

Solving for something just means that you want to have what you're solving for (n) on one side of the equal/inequality sign and everything else on the other side.

 

5 + 2n < -19

 

So first subtract 5 from both sides.

 

2n < -24

 

Then divide both sides by 2

 

n< -12

 

So that means any number (n) less than -12 makes this problem true.