Question

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

Answer 1

Answer:

g^2 + 4 > -5

Step-by-step 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

Answer 2

Answer:

$g\geq +/- 3i$

Step-by-step 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 $g$:

$\sqrt{g^{2}}\geq \sqrt{-9}$

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 $\sqrt{-1}$.

$g\geq \sqrt{9} \sqrt{-1}$

$g\geq +/-3i$

I hope this helps!