Question

Solve the
|2x + 1 ≥-7

Answer 1

I assume you mean

`|2x + 1| \ge -7`

The absolute value function is non-negative, so

`|2x+1| \ge0 > -7`

is true for all
`x`; any value of
`x` is a solution to this inequality. (infinitely many solutions)

Answer 2

|2x+1|>-7

| 2x+1-1|>-7-1
2/2x> -8/2
x<-4
|2x+1-1|>7-1
2x/2>6/2
x>3