Solving inequalities by multiplying or dividing?

Question

Solve each inequality. Check your solution
1) 2x < 8
2) 3x > -6
3) -4t > -20
4) a/5 > 10
5) -8 > k/-0.4
6) m/-7 < 1.2
7) -s/3 < -3.5
8)36 > -1/2y
9)-273 > -13z

Answer 1

1 x<4
2 x>-2
3 t<5
4 a>50
thats all you get, do your own homework

Answer 2

Do these just like regular equations, but if you multiply or divide by a negative number, then reverse the direction of the inequality sign.

1. Divide each side by 2. Answer: x is less than 8. You didn't divide by a negative number, so the inequality sign stays the same.
3. Divide each side by -4. Answer: t is less than 5. You divided by a negative number, so change the sign from greater than to less than.

Answer 3

-sixteen < -8n OR -8n > -sixteen First we can divide by potential of -8 (be conscious that when dividing or multiplying by potential of a unfavourable style, you opposite the inequality. ==> (-8n)/-8 < -sixteen/-8 ==> n < 2 Then the values are all numbers decrease than 2. If n is an integer ==> n= { ..., -3, -2, -a million, 0, a million } If n is a real style ==> n = (-inf, 2) I

Answer 4

1) x < 4
2) x > -2
3) t < 5
4) a > 50
5) k > 3.2
6) m > -8.4
7) s > 10.5
8) y > -72
9) z > 21