Answer:
6/5 < x < 10/3 is the desired solution.
Step-by-step explanation:
Here, the given compound inequality is :
x + 1 < -2 x + 11 < 3 x + 5
Now, consider the first two term of the inequality, we get:
x + 1 < -2 x + 11
Subtracting 1 from both sides, we get:
x + 1 - 1 < -2 x + 11 - 1
or, x < -2x + 10
or, x + 2x < 10
or, 3 x < 10
or, x < 10/3
Similarly, considering the last two terms of the given inequality, we get:
-2 x + 11 < 3 x + 5
Subtracting 11 from both sides, we get:
-2 x + 11 - 11 < 3 x + 5 - 11
or, - 2 x < 3 x-6
or, 6 < 5 x
or, x > 6/5
Hence, combining two solutions, we get: 6/5 < x < 10/3
So, the desired value of x should be more than (6/5) but less than (10/3)
Answer:
1.11
Step-by-step explanation:
First, you ignore the absolute value sign and subtract normally: –9.23 – 1.79 = -11.02, –7.34 – 2.57 = -9.91. Then now you add the absolute value to the numbers: |-11.02| - |-9.91| = 11.02 - 9.91 = 1.11.
This relative frequency is an experimental probability: that of getting a red on a spinner. In 300 spins, we'd expect to get 0.4(300), or 120, reds.
