Answer:
x∈ (-1, ∞)
Step-by-step explanation:
<u>Solution of the inequality:</u>
- −2(3x − 1) < 8 ⇒ Divide both sides by -2, this will change inequality
sign to opposite
- 3x - 1 > -4 ⇒ add 1 to both sides
- 3x > -3 ⇒ divide both sides by 3
- x > -1 ⇒ answer
- x∈ (-1, ∞) ⇒ answer as set
1.
x² +10x +24 = 0
x² +10x =-24
2.
x² +2*5*x +5² =-24+5²
3.
x²+2*5*x+25 = -24+25
4.
(x+5)² = 1
p=-5, q=1
Option B:
is the value of y
Explanation:
It is given that "Two times x is 8 more than y". Writing it as expression, we have,

It is also given that "The sum of x and two times y is 14". Writing it as expression, we have,

To find the value of y, let us solve the two equations using substitution method.
From the equation
, let us find the value of x.



Now, substituting
in the equation
, we get,





Thus, the value of y is 
P-5=3s-15 because Pete is 20 and Sam is 10. 20-5= 15 and 3(10)-15 also equals 15. The answer is C.