Solve the given inequality and graph the solution on a number line -x/2 + 3/2 < 5/2
1 answer:
The correct answer is x>-2. The graph is attached.
To solve this:
-x/2 + 3/2 < 5/2
Subtract 3/2 from both sides:
-x/2 + 3/2 - 3/2 < 5/2 - 3/2
-x/2 < 2/2
-x/2 < 1
Multiply both sides by 2:
(-x/2)*2 < 1*2
-x < 2
Divide both sides by -1:
-x/-1 < 2/-1
Remember to flip the the symbol since you divide both sides by a negative:
x > -2
To graph the inequality, we draw a number line, making sure we have -2 on it. We circle -2 and leave it open, since it is strictly greater than. Then we shade the line to the left.
To solve this:
-x/2 + 3/2 < 5/2
Subtract 3/2 from both sides:
-x/2 + 3/2 - 3/2 < 5/2 - 3/2
-x/2 < 2/2
-x/2 < 1
Multiply both sides by 2:
(-x/2)*2 < 1*2
-x < 2
Divide both sides by -1:
-x/-1 < 2/-1
Remember to flip the the symbol since you divide both sides by a negative:
x > -2
To graph the inequality, we draw a number line, making sure we have -2 on it. We circle -2 and leave it open, since it is strictly greater than. Then we shade the line to the left.
You might be interested in
Answer:
0.6804
Step-by-step explanation:
Given that Margie is practicing for an upcoming tennis tournament. Her first serve is good 20 out of 30 times on average.
Since each trial is independent and there are two outcomes, X no of good serves is binomial with n=6 and p =2/3
Required probability
= Prob that atleast four of 6 times good serve
=
=
Formula used:
P(X=r) =