50 < 8 - 6x
subtract 8 from both sides. you always want to deal with the number on the same side as the variable (x). you will get 42 < -6x. divide each side by -6. this will result in -7 < x, or since you divided by a negative, x > -7 (you flip to greater than)
up to your 42 < -6x , .... OK
then you said , "divide each side by -6"
42 < -6x ----> -7 > x , but you had -7 < x even though you actually said that you
had to "flip" the inequality, but did not do it
add 6x to both sides
6x + 50 < 8
subtract 50 from both sides
6x < -42
divide both sides by 6
x < -7
x < -7
Is the correct answer
yes that was my bad
To solve the inequality 50 < 8 - 6x, we need to isolate the variable x. Here are the steps to do that:
Step 1: Start by subtracting 8 from both sides of the inequality:
50 - 8 < 8 - 8 - 6x
42 < -6x
Step 2: Divide both sides of the inequality by -6. Remember that when dividing by a negative number, the inequality sign is reversed:
42 / -6 > -6x / -6
-7 > x
Now we have x > -7 as the solution to the inequality. This means any value of x greater than -7 will satisfy the inequality.