Answer:
Solving the inequality: [tex]x - 2 > 2x + 12[/tex] we found the value of x: [tex]\mathbf{x<-14}[/tex]
Option D is correct option.
Step-by-step explanation:
We need to solve the inequality: [tex]x - 2 > 2x + 12[/tex] and find value of x
Solving the inequality
[tex]x - 2 > 2x + 12[/tex]
First of all, we will add 2 on both sides
[tex]x - 2+2 > 2x +12 +2\\x>2x+14[/tex]
Now, add -2x on both sides of inequality
[tex]x-2x>2x+14-2x\\-x>14[/tex]
Now, multiply both sides by -1, when multiplying by negative number, the inequality is reversed i.e. > will become <
[tex]-1*-x<14*-1\\x<-14[/tex]
So, solving the inequality: [tex]x - 2 > 2x + 12[/tex] we found the value of x: [tex]\mathbf{x<-14}[/tex]
Option D is correct option.
