Question

-2 > 10 - 3g > -8 this one im struggling

Answer 1

The inequality -2 > 10 - 3g > -8 is solved by splitting it into two parts, solving each part, and combining the results. The solution is 4 < g < 6.

Step-by-step explanation:

The inequality -2 > 10 - 3g > -8 can be solved by splitting it into two separate inequalities and solving each one individually:

1. -2 > 10 - 3g
2. 10 - 3g > -8

For the first inequality:

-2 > 10 - 3g

Add 3g to both sides:

3g - 2 > 10

Add 2 to both sides:

3g > 12

Divide by 3:

g < 4 (Note that the inequality sign does not change since we are dividing by a positive number)

For the second inequality:

10 - 3g > -8

ubtract 10 from both sides:

-3g > -18

Divide by -3:

g < 6 (Note that the inequality sign reverses when dividing by a negative number)

Combining the results, we have:

6 > g > 4

So the solution to the inequality is 4 < g < 6.