SOLUTION: here are the problems I am stuck on: I'm having trouble telling which ones are conditional, inconsistent, or identity. I think I have the answers correct but telling what they are
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Question 765009: here are the problems I am stuck on: I'm having trouble telling which ones are conditional, inconsistent, or identity. I think I have the answers correct but telling what they are is a little confusing. Any help or suggestions are much appreciated.
-2/3z= -4/5
8(4-7)+6= -34
m-1= - -0.05
12s = 3-3s
2/3r + 2 = r - 1/3
Identity means that the statement is ALWAYS true
Inconsistent means that the statement is NEVER true
Conditional that the statement is true under some condition only
1) -2/3z= -4/5
Simplifying, 2*5 = 3*z*4
z = 10/12 = 5/6
This is a conditional equation, since it is true for z = 5/6 but not all z.
2) 8(4-7)+6= -34
Expanding the LHS, 8*(-3) + 6 = -24 + 6 = -18. But RHS is given as -34 which
is not true. So this is Inconsistent
3) m-1= - -0.05
m-1 = 0.05 (I am assuming you have put 2 minus signs on the right side)
m = 1.05
This is also a conditional equation.
Use this approach to try out the rest yourself! Let me know if it is not
clear :)
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