If |x-16| is less than or equal to 4 and |y-6| is less than or equal to 2, what is the greatest possible value of x-y?

16

Step-by-step explanation:

|x - 16| less than/equal to 4

Means x can be between;

-4+16 and 4+16, i.e [12,20]

|y - 6| less than/equal to 2

Means x can be between,

-2+6 and 2+6, i.e [4,8]

x - y would be greatest when x is greatest and y is least:

20 - 4 = 16

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

32

step-by-step explanation: