What is the solution of -4x +1 > or equal to 7

I get these really confused on how to solve these.

Thank you

-4x + 1 >= 7

Solve this as you would if there was just an "=" sign. But, anytime you multiply or divide both sides by a negative number the inequality sign will reverse.

To get you started...
Subtract 1 from both sides.

is the answer x <=3/2

Close...

You have the inequality correct, but when you divided both sides by -4, you you have an error on the right side.

6/(-4) = ?

It should be x<= -3/2, correct

Yes, you got it!

Thanks, Quidditch.

Thanks Quidditch-I appreciate it

Your welcome!

Glad to help

To solve the inequality -4x + 1 ≥ 7, you can follow these steps:

1. Begin by subtracting 1 from both sides of the inequality:
-4x + 1 - 1 ≥ 7 - 1
-4x ≥ 6

2. Next, divide both sides by -4. Remember that when you divide or multiply both sides of an inequality by a negative number, you need to reverse the direction of the inequality sign:
-4x / -4 ≤ 6 / -4
x ≤ -1.5

So the solution to the inequality -4x + 1 ≥ 7 is x ≤ -1.5.

In summary, to solve an inequality:
1. Isolate the variable on one side of the inequality by performing operations (addition, subtraction, multiplication, or division) on both sides.
2. If you multiply or divide both sides by a negative number, reverse the direction of the inequality sign.
3. The solution is the range of values that satisfy the inequality.