Which of the following values is in the solution set of the inequality -8-7x>-6
a) 2
b) -2
c) -3
d) -1
just plug in the values. which one works?
-8-7(2) = -8 - 14 = -22 not > -6
-8-7(-2) = -8 + 14 = 6 > -6 OK
-8-7(-3) = -8+21 = 13 > -6 OK
-8-7(-1) = -8+7 + -1 > -6 OK
So, is the question missing a "not"?
To find which values are in the solution set of the inequality -8-7x > -6, we need to solve the inequality and compare the results with the given options.
Let's solve the inequality step by step:
-8-7x > -6
First, we'll isolate the variable by moving the constant term to the right side:
-8 - 7x + 8 > -6 + 8
Simplifying the equation,
-7x > 2
Next, we'll divide both sides of the inequality by -7. Remember, when dividing by a negative number, the direction of the inequality sign will be reversed:
(-7x) / -7 < 2 / -7
Simplifying further,
x < -2/7
We have solved the inequality.
Now, we'll compare the solution x < -2/7 with the given options:
a) 2: Since 2 is greater than -2/7, it is not in the solution set.
b) -2: -2 is equal to -2/7, so it is in the solution set.
c) -3: Since -3 is less than -2/7, it is in the solution set.
d) -1: Since -1 is greater than -2/7, it is not in the solution set.
Therefore, the values in the solution set of the inequality are b) -2 and c) -3.