Question

Which of the x values are solutions to the inequality 4(2-x)>-2-3143+ 1)2. Check all that apply

A) x=-1.1
B) x=-22
C) x=0
D) x=-10
E) x= 10

Answer 1

To solve the inequality 4(2-x) > -2-3143+ 1 and determine which x values are solutions, we need to perform a series of steps. First, we simplify the inequality by performing the operations.

Step-by-step explanation:

To find the solutions to the inequality 4(2-x) > -2-3143+ 1, we need to solve the inequality and check which values of x make it true.

1. Step 1: Simplify the inequality by performing the operations.
   4(2-x) > -3144
   8 - 4x > -3144
   -4x > -3152
   
2. Step 2: Divide both sides of the inequality by -4. Remember that when dividing by a negative number, the inequality sign flips.
   x < 788
3. Step 3: Check the given x values against the inequality. Only the values x = -22 and x = 0 satisfy the inequality.