1.Graph the following on a number line.
a. {x]-3<=to x < 1, xER}
b. {s] s^2 > 9, sER}
2.Solve and graph each solution set. (belong to the set of real numbers)
a. 3a-2<= to 7
b. 2(s +3) - 3(s-5) >= to 12
3. Solve. (set of real numbers)
a. 5-4b divided by 3 <5
4. A function is g(x)= 2(x-3)^2+ 4
a. determine the range of g when x > 4
b. determine the range of g when o <= to x <= to 6
c. determine the domain of g when f(x) <= to 12.
It would be appreciated since im lost in this.
Hello, Blast18!
I figured out what the first one says . . .
1. Graph the following on a number line.
. .
It says:. The set of all number such that
. . is between -3 and 1 (including -3)
. . and is a real number.
You can visualize this set of numbers, can't you? .Graph it.
. . .
. . . . . . . . . . . . . . .
Use a "solid dot" at -3 to indicate that it is included.
Use an "empty dot" at +1 to indicate that is not included.
We want values of such that:
. . We find that: . or
. .
. . . . . . . . . .
2. Solve and graph each solution set (real numbers).
You're expected to know how to solve an inequality.
Add 2 to both sides: .
Divide both sides by 3: .
. .
. - . - . . . . . .
We have: .
Then: .
Subtract 21 from both sides: .
Multiply both sides by -1: .
. and reverse the inequality!
. .
. - . - . . . . . .