1) q-12>-13

q>1
q>-1
q>25
q>-25

2) g/-5>-18
g<-23
g>-90
g>90
g<90

3) The result subtracted from a number n is at least 2 What numbers solutions?
n-2>6; n>8
n-6>2; n>8
n+6>2; n<4
n+6<2; n>4

How would you like us to HELP you?

I think that the first one is -1, the second one is g>-90, and the third one is n-2>6; n>8.

I'm just confused about how to solve these kind of problems.

Please help me!!

http://www.mathsisfun.com/algebra/inequality-solving.html

right on first, but second, when you multipy both sides by -5, the inequality reverses direction. On the third, you are correct.

To solve these inequalities, we'll follow a general set of steps:

1. Simplify the expression on both sides.
2. Isolate the variable on one side of the inequality sign.
3. Determine the direction of the inequality (greater than, less than, greater than or equal to, or less than or equal to) by considering the sign of the inequality and the operations performed.
4. Write down the solution for the variable in interval notation or as an inequality expression.

Let's go through these steps for each inequality:

1) q - 12 > -13

a) Simplify: q - 12 > -13
b) Add 12 to both sides: q - 12 + 12 > -13 + 12
q > -1
c) The solution is q > -1.

2) g / -5 > -18

a) Simplify: g / -5 > -18
b) Multiply both sides by -5. Since we are multiplying by a negative number, we need to flip the direction of the inequality sign: (g / -5) * -5 < -18 * -5
g < 90
c) The solution is g < 90.

3) n - 2 > 6

a) Simplify: n - 2 > 6
b) Add 2 to both sides: n - 2 + 2 > 6 + 2
n > 8
c) The solution is n > 8.

4) n - 6 > 2

a) Simplify: n - 6 > 2
b) Add 6 to both sides: n - 6 + 6 > 2 + 6
n > 8
c) The solution is n > 8.

5) n + 6 > 2

a) Simplify: n + 6 > 2
b) Subtract 6 from both sides: n + 6 - 6 > 2 - 6
n > -4
c) The solution is n > -4.

In summary, the solutions to the given inequalities are:

1) q > -1
2) g < 90
3) n > 8 or n < -4