A U B = {1, 2, 3, 4, 5, 6, 7}
Step-by-step explanation:
- Step 1: Find A U B. Union of two sets A and B are the set of all elements in set A and set B.
A = {1, 2, 5, 7} and B = {3, 4, 6, 7}
A U B = {1, 2, 3, 4, 5, 6, 7}
Answer:
x ≥ y + 2
0.50 (x) (x+3) + 2.25 (4) (y) ≤ 50
Step-by-step explanation:
x = width of the car
x+3 = length of the car
y = radius of the car
The width must be at least 2 inches greater than the radius, so:
x ≥ y + 2
The total cost must be no more than $50, so:
0.50 (x) (x+3) + 2.25 (4) (y) ≤ 50
3/10, 3/5, 4/5, 2/3 in order from least to greatest.
Translate this into symbols: 27 - 1.5x is equal to or less than 36. Find x.
Add 1.5x to both sides, so as to make the coefficient of x positive:
27 = 36 + 1.5x, or -9 = 1.5x, or x = -6 but also
x > -6
Check: let x = -6. Is the given equation then true?
27 = 36 + 1.5(-6) => -9 = -9? Yes.
Check: let x > -6. Is <span>Twenty-seven minus 1.5 of a number (x) not more than 36? 27 - 1.5(0) not more than 36? True.
Thus, x is equal to or greater than -6.</span>
