Question

Solve for x: x - 2 > 2x + 12.
Ox> 14
0x< 14
Ox>-14
Ox<-14

Answer 1

Solving the inequality:
`x - 2 > 2x + 12` we found the value of x:
`\mathbf{x<-14}`

Option D is correct option.

Explanation:

We need to solve the inequality:
`x - 2 > 2x + 12` and find value of x

Solving the inequality

`x - 2 > 2x + 12`

First of all, we will add 2 on both sides

`x - 2+2 > 2x +12 +2\\x>2x+14`

Now, add -2x on both sides of inequality

`x-2x>2x+14-2x\\-x>14`

Now, multiply both sides by -1, when multiplying by negative number, the inequality is reversed i.e. > will become <

`-1*-x<14*-1\\x<-14`

So, solving the inequality:
`x - 2 > 2x + 12` we found the value of x:
`\mathbf{x<-14}`

Option D is correct option.