Question

solve the following inequality. write the solution set using interval notation.
-x > -4

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution set is
(type your answer in interval notation. use integers or fractions for any numbers in the expression.)
b. the solution set is \\(\varnothing\\).

Explanation:

Step1: Multiply both sides by -1

When multiplying both sides of an inequality by a negative number, the direction of the inequality sign flips. So, multiplying both sides of \(-x > -4\) by \(-1\) gives \(x < 4\).

Step2: Write in interval notation

The interval notation for all real numbers less than 4 is \((-\infty, 4)\).

Answer:

A. The solution set is \((-\infty, 4)\)