Question

The sum of a number g squared and 4 is greater than or equal to −5.

Answer 1

`g\geq +/- 3i`

Explanation:

Using clues given in the problem, we can set up a solvable inequality.

A number g squared:
`g^(2)`

The sum of a number g squared and 4:
`g^(2)+4`

Is greater than or equal to:
`g^(2)+4\geq`

Greater than or equal to -5:
`g^(2)+4\geq-5`

Isolate
`g`:

`g^(2)\geq -9`

Solve for
`g`:

`\sqrt{g^(2)}\geq √(-9)`

This^ looks bad because of the negative, but as I'll show you in the next step it can be split up and you will use the value
`i`, or
`√(-1)`.

`g\geq √(9) √(-1)`

`g\geq +/-3i`

I hope this helps!

Answer 2

g^2 + 4 > -5

Explanation:

sum implies addition so add it with 4

i can’t put the equal to thing on here but there is supposed to be a line under the greater than symbol