Let a be a rational number and b be an irrational number. a + b = c, assume c is rational

a + b - a = c - a, subtract a from both sides

b = c - a, which means that b is rational. But this contradicts the initial assumption.
The above proof shows that the sum of an irrational and rational number is always . Explain.

14 pointslet x be the seats in the small van and y the seats in the large van. how many seats does the large van have? a company uses two vans to transport worker from a free parking lot to the workplace between 7: 00 and 9: 00a. m. one van has 9 more seats than the other. the smaller van makes two trips every morning while the larger one makes only one trip. the two vans can transport 69 people, maximum. how many seats does the larger van have?

What is 1/3x5 on anuber line what does it look like on a number line

Astudent must have an average on five test that is greater than it equal to 80% but less than 90% to receive a final grade of b. devon's greades on the first four test were 78% 62% 91% and 80% what range if grades on the fifth test would give him a b in the course? ( assuming the highest grade is 100%)