Someone please help me I’ll give out brainliest please dont answer if you don’t know

1-

|h − 100| less than or equal to 4

we know the difference between h, the actual height, and the designed height, 100, is no more than 4.

this means that the actual height h could be up to 4 more than the designed height or up to 4 less than the designed height.   this is why we use an absolute value inequality; this considers just the distance of 4 regardless of direction.

since it can be "no more than" 4, we use less than or equal to; this gives us

|h − 100| less than or equal to 4

2-simplifying

4x + -2(x + 1) = 3x + 10

reorder the terms:

4x + -2(1 + x) = 3x + 10

4x + (1 * -2 + x * -2) = 3x + 10

4x + (-2 + -2x) = 3x + 10

reorder the terms:

-2 + 4x + -2x = 3x + 10

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

-2 + 2x = 3x + 10

reorder the terms:

-2 + 2x = 10 + 3x

solving

-2 + 2x = 10 + 3x

solving for variable 'x'.

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

add '-3x' to each side of the equation.

-2 + 2x + -3x = 10 + 3x + -3x

combine like terms: 2x + -3x = -1x

-2 + -1x = 10 + 3x + -3x

combine like terms: 3x + -3x = 0

-2 + -1x = 10 + 0

-2 + -1x = 10

add '2' to each side of the equation.

-2 + 2 + -1x = 10 + 2

combine like terms: -2 + 2 = 0

0 + -1x = 10 + 2

-1x = 10 + 2

combine like terms: 10 + 2 = 12

-1x = 12

divide each side by '-1'.

x = -12

simplifying

x = -12