-1<3-5m<3
Hey No.... the "m" is between two "fences" ,,, when m=0, the <3 fence is touched ... when m=1, the >-1 fence is crossed -- step back to m= 0.8 ... Best wishes :)
-1<3-5m<3
Hey No.... the "m" is between two "fences" ,,, when m=0, the <3 fence is touched ... when m=1, the >-1 fence is crossed -- step back to m= 0.8 ... Best wishes :)
- 1 < 3 - 5m < 3
↑ ↑ ↑
less greater greatest
-1 < 3 - 5m < 3
-3 -3 -3
- 4 < - 5m < 0
÷ (-5) ÷ (-5) ÷ (-5)
0.8 > m > 0
↑ ↑ ↑
greatest greater less
Let's rewrite inequality from less to greatest
0 < m < 0.8 or all real numbers out of interval (0, 0.8)
<———o——————o————>
0 0.8
You use the same principles as if there's only one inequality sign.
But if it makes it easier for you, divide the problem into two separate inequalities:
-1 < 3 - 5m < 3 is the same thing as saying that -1 < 3 - 5m and 3 - 5m < 3.
Now, normal inequality rules apply. First subtract both sides by 3 for both equations:
-4 < -5m and -5m < 0
Then, divide by -5. Remember to reverse the sign direction because you're dividing by a negative:
m < 4/5 and m > 0.
So 0 < m < 4/5. You can verify the answer by throwing a number in between the two values.
And there you have it: inequalities with 2 signs are just two single-sign inequalities put together.
Solve first,
Add -3 to each side,
-4 < -5m < 0
Divide each side by -5,
4/5 > m > 0 (Attn: When you divide by a negative number, you have to switch the direction of inequality sign.)
Graph 0 and 4/5 on a number line each with a small circle and draw a segment linking the two circles. You are done!