Define the following propositions: .p: you drive over 65 miles per hour q you get a speeding ticket translate the following english sentence into logical expressions using the definitions above (a) you drive over 65 miles per hour, but you do not get a speeding ticket. (b) if you do not drive over 65 miles per hour, then you will not get a speeding ticket (c) you get a speeding ticket, but you did not drive over 65 miles per hour.

(a)

(b)

(c)

Step-by-step explanation:

(a) You drive over 65 miles per hour, but you do not get a speeding ticket, it can be represented by:

(b) If you do not drive over 65 miles per hour, then you will not get a speeding ticket, it can be represented by:

(c) You get a speeding ticket, but you did not drive over 65 miles per hour, can be represented by:

question is incomplete.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10