-q/7 (greater than or equal to sign) -1

How do I do this step by step I am very confused. Please help.

-q/7 >= -1

-q >= -7
q <= 7

remember to change direction when multiplying/dividing by negative values. It's just a shortcut for the required addition and subtraction:

-q >= -7
add q:
0 >= -q+q
add 7:
7 >= q

The result is the same.

-q/7 ≥ -1

Multiply both sides by 7

-q ≥ -7

q ≥ 7

I think I somewhat understand this with the way you explained this. This is all new to me.

Thank you for your help. :)

To solve the inequality -q/7 >= -1, we can follow these step-by-step instructions:

Step 1: Start by multiplying both sides of the inequality by -7 to get rid of the fraction. Remember, when you multiply or divide by a negative number, you need to reverse the inequality sign.

(-7)(-q/7) >= (-7)(-1)

The -7 in the numerator and denominator cancel out on the left side:

q >= 7(-1)

Simplifying further:

q >= -7

So, the solution to the inequality is q is greater than or equal to -7.

In summary, to solve the inequality, we multiplied both sides by -7 to eliminate the fraction and then simplified the expression to determine the value of q.