Math Snap

STEP 1

Assumptions1. The problem is a compound inequality, which means that the solution will be a range of values for x that satisfy both inequalities.
. The inequality symbols "<" mean "less than", so we are looking for values of x that are less than certain numbers.

STEP 2

First, let's look at the first inequality$$-\frac{13}{4}<x$$This means that x is greater than -13/4.

STEP 3

Now, let's look at the second inequality$$x<-\frac{5}{2}$$This means that x is less than -5/2.

STEP 4

The solution to the compound inequality is the intersection of the solutions to the two inequalities. In other words, the solution is the set of all x that satisfy both inequalities.

STEP 5

To find this intersection, we look for the values of x that are both greater than -13/4 and less than -5/2.

STEP 6

The solution to the compound inequality is the range of x values that satisfy both conditions. Since -13/4 is less than -5/2, there are no values of x that are both greater than -13/4 and less than -5/2.

Therefore, the solution to the compound inequality is the empty set, which means there are no values of x that satisfy the inequality.