Consider an absolute value inequality.
For example, 3≤|x-7|
this means that x-7 can be
i) 3, 3.4, 5, 7.5 etc
or ii) -3, -3.2, -4.7 etc since these values in abs value all are ≥3
thus the set of all values in i) is represented by x-7≥3, which means x≥10
and the set of all values in ii) is x-7≤-3, which means x≤4.
Thus, the compound inequality is : x≥10 OR x≤4
an absolute inequality corresponding to this compound inequality is 3≤|x-7|
Ignore the circles. The ratio of stars to squares is simply 5 to 11 .
Answer:
A)29 and B) 21,
Step-by-step explanation:
First,in the sequence
, the parameter
must to be a integer.
Second, we need to solve the equations by
.

All the option in the problem represent an
Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.
For A)

For B)

For C)

For D)

Only A) and B) only A and B meet the requirement
Answer:
x = 65
Step-by-step explanation:
Triangle interior angle sum is 180 degrees.
2x + 25 + 25 = 180
2x = 130
x = 65