Using a number line, find both the intersection and the union of the following intervals: (−3, +∞) and (4, +∞)

The intersection of the two intervals = 4, 5, 6,+∞ = (4, +∞)

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,,+∞ = (-3, +∞)

Step-by-step explanation:

The given intervals are;

First interval  = (-3, +∞)

Second interval  = (4, +∞)

Using the number line, we therefore, the first interval includes, -3, -2, -1, 0, 1, 2, 3, 4, 5,,+∞

The second interval includes, 4, 5,,+∞

Which gives the intersection as 4, 5, 6,+∞

The union is the interval that combines the two sets of intervals which is given as follows;

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,,+∞

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: