Question

Solve 4x-1|-4 = 11

Enter your answer as a reduced fraction (like 5/3, not 10/6) or as an integer (like 4 or -2). Do not enter mixed
numbers. Enter DNE for Does Not Exist, oo for Infinity
Enter the smaller solution for ₁ and the larger solution for 22; (where #₁ ≤₂)
21 =
#2 =

Answer 1

To solve the equation 4x - 1|-4 = 11, we need to consider two cases: when the absolute value expression is positive and when it is negative.

Case 1: When |-4| = 4 (positive)

4x - 1(4) = 11

4x - 4 = 11

4x = 11 + 4

4x = 15

x = 15/4

Case 2: When |-4| = -4 (negative)

4x - 1(-4) = 11

4x + 4 = 11

4x = 11 - 4

4x = 7

x = 7/4

So, the solutions to the equation are x = 15/4 and x = 7/4.

Now, let's compare the two solutions to find the smaller and larger values:

The smaller solution is x = 7/4.

The larger solution is x = 15/4.

Therefore:

₁ = 7/4

₂ = 15/4