Write a function rule for “The output is 6 more than five times the input.” Use x for the independent variable and y for the dependent variable. y=

y=5x+6

Step-by-step explanation:

+6 is six more than.

5x is five times the input.

For example, let's say x=3. you gotta multiply first so you can get the five times out of the way. 3×5=15. Now we got to add six because "6 more than" means to add six. so, 15+6=21. I plugged in 21 for y to check and I got x=3, so this works.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5