-1

If one bottle costs more than one cap, which statement is true?

  1. one bottle + one cap costs more than two bottles
  2. one bottle costs more than two caps
  3. two caps cost more than one bottle
  4. one bottle + one cap costs more than two caps
  5. two bottles cost more than three caps

how to solve questions like this? what should be the approach?

calmsoul
  • 17
  • 5

1 Answers1

1

You could solve it by rewriting the expressions into inequalities and graphing it out.

Making inequalities

For how to graph it, check this link

So I would basically see this as a set of inequalities, substituting caps with x and bottles with y

One bottle costs more than one cap, then becomes y > x

one bottle + one cap costs more than two bottles, becomes y + x > y + y and then rewrite this to y < x

one bottle costs more than two caps, becomes y > 2*x

and so on.

Plotting it out

Then plot the two inequalities into a coordinate system, like shown here

For the first question you'll see that no values satifies both y > x and y < x

Lars
  • 71
  • 4