Question

solve -1/2x≥-3/4

what is the solution set?
{xIx }

Answer 1

{x | x >= 3/2}

Answer 2

same.

Answer 3

3/2

Answer 4

so negative >-3/2

Answer 5

No. Just 3/2

Answer 6

If you divide a negative number by another negative number, you'll get a positive number. XD

Answer 7

here u go.

Answer 8

The tricky part of this problem is that when you multiply or divide both sides of an inequality by a negative number, the inequality switches.

Answer 9

To see this, take a look at the fairly obvious inequality -1 < 1.
That is true. Now let's multiply both sides by -1.
If we don't flip the inequality, we get 1 < -1, which is obviously false.

Answer 10

Oh right! I clearly forgot about that.
So, the answer must be {x|x <= 3/2}

Answer 11

Good job smoothmath.

Answer 12

So yeah, we begin with -1/2 x >= -3/4
Multiply both sides by -2 and remember to flip the inequality to get
x <= 3/2

Answer 13

Thanks, Joseph.