Solve the compound inequality. Write the solution in interval notation.

-7x > -35 or x + 7 > 4
(-3, ∞)
(-3, 5)
(-∞, ∞)
(-∞, -3) ∪ (5, ∞)

Option C: is the solution in interval notation.

Explanation:

The expression is

First let us solve the expression

Dividing both sides by -7, we have,

------------(1)

Similarly solving the expression

Subtracting both sides by 7, we get,

--------------(2)

Substituting (1) and (2) in the original equation , we get,

Thus, writing it in interval notation, we have,

Thus, the union of the two intervals in

Hence, Option C is the correct answer.