1. 3t<-9=t<-3
2.4m>8=m>2
3.10<-2w
5<w
4.-20>-5c
4>c
5.-27>3z
-9>z
6.-7b>42
b>6
(1) Correct
(2) Correct
(3) 10 < -2w
Divide both sides by -2. When you divide by a negative number in an inequality, you must flip the sign.
5 > w
w < 5
Correct
(4) -20 > -5c
Divide both sides by -5 and flip the sign.
4 < c
c > 4
Incorrect
(5) -27 > 3z
-9 > z
z < -9
Correct
(6) -7b > 42
Divide both sides by -7 and flip the sign.
b < -6
Incorrect
All are good except 4 and 6.
4. 4>c
6. b>6
No, those aren't correct. What are you saying? Do you have questions?
4.4>c
6.b>6
No, they are not... ??
I need to know what is 4.72 in expanded form please
To solve these inequalities, we need to isolate the variable (represented by a letter) on one side of the inequality sign.
Inequality 1: 3t < -9 = t < -3
We want to find the possible values of variable t. Start by dividing the entire inequality by 3 to get t < -3.
So, the inequality solution for t is t < -3.
Inequality 2: 4m > 8 = m > 2
Again, we want to find the possible values of variable m. Divide the inequality by 4 to get m > 2.
The solution for m is m > 2.
Inequality 3: 10 < -2w
In this case, we want to find the possible values of variable w. Start by dividing the entire inequality by -2. However, when we divide by a negative number, we need to flip the inequality sign. So we get -10/(-2) > w, which simplifies to 5 > w.
The solution for w is w < 5.
Inequality 4: -20 > -5c
For this inequality, we want to find the possible values of variable c. Divide the entire inequality by -5, but remember to flip the inequality sign. This gives us 4 < c.
So, the solution for c is c > 4.
Inequality 5: -27 > 3z
Here, we need to find the possible values of variable z. Divide the entire inequality by 3, but again, remember to flip the inequality sign. This gives us -9 > z.
The solution for z is z < -9.
Inequality 6: -7b > 42
We want to find the possible values of variable b. Divide the entire inequality by -7, but don't forget to flip the inequality sign. This gives us b < -6.
So, the solution for b is b < -6.
To summarize:
1. t < -3
2. m > 2
3. w < 5
4. c > 4
5. z < -9
6. b < -6