Question: write the converse, inverse, and contrapositive of the following statement: "if i study for my math test, then i will get a good grade."

A conditional statement consists of two parts, a hypothesis p in the “if” clause and a conclusion q in the “then” clause, or mathematically you can write .

In your example "If I study for my math test, then I will get a good grade" the hypothesis is p="I study for my math test" and the conclusion q="I will get a good grade".

To form the converse of the conditional statement, interchange the hypothesis and the conclusion ().

In your case the converse statement is "If I will get a good mark, then I study for my math test."

To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion ().

In your case the inverse statement is "If I do not study for my math test, then I will not get a good mark."

To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement ().

In your example the contrapositive statement is "If I will not get a good mark, then I do not study for my math test."

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

5

step-by-step explanation: