Find the union of x- (70/x) <-3
1 answer:
A graph shows the inequality to be true for
... (x < -10) ∪ (0 < x < 7)
or, in interval notation
... (-∞, -10) ∪ (0, 7)
_____
If you add 3 and multiply the inequality by x, you get
... x² +3x -70 < 0
... (x +10)(x -7) < 0
Ordinarily, this would have solution -10 < x < 7, but multiplying by x we have to change the sense of the inequality when x < 0. This makes the solution be as shown above.
You might be interested in
Answer:
P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}
Step-by-step explanation:
➨ Power Set is the set of all subsets.
First, find the subset of A.
{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅
If you aren't sure that you already have written all subsets or not, use the following formula.
➩ where n is the number of element/members.
Our number of members are 3, use the following formula.
Thus, our subsets should be 8.
As we've already gathered all subsets, write the braces all whole subsets.
P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}