McGraw Hill Glencoe Geometry, 2012
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McGraw Hill Glencoe Geometry, 2012 View details
3. Conditional Statements
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Exercise 57 Page 113

Practice makes perfect
a The given table shows an example for each compound.
Compound Example Chemical Formula
Acid Hydrochloric Acid HCl
Base Sodium Hydroxide NaOH
Hydrocarbon Methane

We have been also given three statements that we will write in if-then form.

  • Acids contain hydrogen (H).
  • Bases contain hydroxide (OH).
  • Hydrocarbons contain only hydrogen (H) and carbon (C).

Let's start with highlighting the and the Notice that there can be more than one way to do that but we will show only one way.

Now that we see the and the clearly, we can write the statements in if-then form. Remember that the comes after if and the comes after then.

  • If then
  • If then
  • If then
b To write the converse of the conditionals from the previous part, let's remember what converse means symbolically.
Now, we can write the converse of the conditionals and determine their truth values. If they are false, we will find a counterexample.
  • If then
As we know, acids are not the only compounds that contain hydrogen (H). Thus, we can find a counterexample.
As a result, when the hypothesis is true, the conclusion is false by the counterexample. Therefore, the statement is also false.
  • If then

By the definition of base, we can immediately say that the statement is true.

  • If then

We can say that the statement is true by the definition of hydrocarbon.