Which of the following is equivalent to 7-2(x+2)<-4-3(1 - x)?

2 < x

Step-by-step explanation:

7-2(x+2)<-4-3(1 - x)

Distribute

7 - 2x-4 < -4 -3 +3x

Combine like terms

3 -2x < -7 +3x

Add 2x to each side

3-2x +2x< -7+3x+2x

3< -7+5x

Add 7 to each side

3+7 <-7+7+5x

10 <5x

Divide each side by 5

10/5 <5x/5

2 < x

ok

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form