homework help needed?

Question

solve this ..An inequality has g=1 as a solution, but g=2 is not a solution .What is the inequality..
How do I teach her how to solve this?and get the answer

Answer 1

There are an infinite number of answers, but the correct answer your textbook or worksheet wants is probably either:

g<=1
OR
g<2

I assume you guys are working with integers only (no fractions).

Answer 2

inequality has <, >, >=, <= or <>(not equal) as the assignment sign. But the questio

we can say, since g=2 is not a solution, therefore, we can assume g<>2 is a solution. and aslo g = 1 is a solution

to satisfy g<>2 is a solution, we can say g-2<>0 ....(1);
to satisfy g = 1 is a solution, we can say g-1 = 0....(2);

to combine the solutions, we can say from (1), how can you get a solution where any number is the answer but g-2<>0, we can say this must be a fraction with g-2 as denominator

but also to satisfy (1), we can say g-1 as the nominator.

so, we can conclude that the inequality is (g-2)/(g-1) <> 0

since if g=2, the answer is 0, so its not the solution
since if g=1, the answer become infinity, so, is the solution.

Have fun

Answer 3

Well, the inequality is that they can't equal each other.

g=1 and g=2, therefore 1=2. And that's not possible.