Question

4x - 4 < 8 and 9x - 5 > 234, x - 4 is less than 8, start color __________.

A) Red
B) Blue
C) Green
D) Yellow

Answer 1

To solve the system of inequalities, we find the intersection of the solution sets. The only number that satisfies both inequalities is x = 27. Therefore, x - 4 < 8 is true. The answer is D) Yellow.

Step-by-step explanation:

To solve the given system of inequalities:

4x - 4 < 8
9x - 5 > 234

We will solve each inequality separately and then find the intersection of the solution sets.

For the first inequality, we add 4 to both sides:

4x < 12
x < 3

For the second inequality, we add 5 to both sides:

9x > 239
x > 26.556

Now, comparing the solutions:

x < 3 and x > 26.556

The only number that satisfies both inequalities is x = 27.

Therefore, x - 4 < 8 is true.

The answer is D) Yellow.