Question

If z is a positive integer, does 4 + 3(2z-5) represent a number that is greater than,less than ,or equal to 2(3z-4)? Please show me how you got the answer.

Answer 1

Answer:

The number will be greater than 2(3z-4)

Step-by-step explanation:

Thinking process:

Let the expressions be:

4 + 3(2z-5)            ...1

and

2(3z-4)                 ...2

Now, let z be a positive number, say 2

Substituting gives:

4 + 3(2*2-5) = 7     ...1

and

2(3*2-4)        = 4     ...2

As it can be seen from the solutions, the expression 4 + 3(2z-5)  will be greater than  2(3z-4) for any value of z.

That is,  4 + 3(2z-5) > 2(3z-4) for any real value of z.

Answer 2

4 + 3( 2(4) - 5)
= 4 + 24-5
= 28-5
= 23

2(3(4) -4)
= 2(12) -4
= 24 -4 = 20



4+3(2z-5) > 2(3z-4)