Solve algebraically: x2 − x ≥ 6. A. x ≥ 3 and x ≥ −2
B. x ≥ 3 or x ≤ −2
C. x ≤ 3 and x ≤ −2
D. x ≤ 3 or x ≥ −2

A)  x ≥ 3 and x ≥ -2

The solution of the given equation

 x ≥ 3 and x ≥ -2

Step-by-step explanation:

Explanation:-

Given that x2 − x ≥ 6.

             ⇒ x² − x - 6.≥ 0

             ⇒ x² - 3 x + 2x -6 ≥ 0

             ⇒ x ( x-3) +2 ( x-3) ≥ 0

             ⇒ ( x -3) ( x+2) ≥ 0

               x -3 ≥ 0 and (x +2) ≥0

                x ≥ 3 and x ≥ -2

Final answer:-

The solution of the given equation

 x ≥ 3 and x ≥ -2

you should at least use a calculater

step-by-step explanation:

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.