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.
2 answers:
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.
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)
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