How do you solve and graph #5-5x4(3-x)#?

Question

How do you solve and graph #5-5x>4(3-x)#?

Genesis Allen · Accepted Answer

See a solution process below:

First, expand the terms on the right side of the inequality by multiplying the terms inside the parenthesis by the term outside the parenthesis: #5 - 5x > color(red)(4)(3 - x)# #5 - 5x > (color(red)(4) xx 3) - (color(red)(4) xx x)# #5 - 5x > 12 - 4x# Next, add #color(red)(5x)# and subtract #color(blue)(12)# from each side of the inequality to solve for #x# while keeping the inequality balanced: #-color(blue)(12) + 5 - 5x + color(red)(5x) > -color(blue)(12) + 12 - 4x + color(red)(5x)# #-7 - 0 > 0 + (-4 + color(red)(5))x# #-7 > 1x# #-7 > x# To state the solution in terms of #x# we can reverse or "flip" the entire inequality: #x < -7#

Abigail Allen · Answer

undefined To solve and graph the inequality 5 - 5x > 4(3 - x):

1. Solve the inequality:
   5 - 5x > 12 - 4x
   
   Add 5x to both sides:
   5 > 12 - 4x + 5x
   
   Combine like terms:
   5 > 12 + x
   
   Subtract 12 from both sides:
   -7 > x

2. Graph the solution on a number line:
   Place an open circle at -7 on the number line to indicate that x cannot equal -7.
   Shade the area to the right of -7 to represent all values of x that satisfy the inequality.

How do you solve and graph #5-5x&gt;4(3-x)#?

How do you solve and graph #5-5x>4(3-x)#?