Question

The solution set for (|x – 1| / x + 3) < 1 is? -1 ≤ x ≤ 3 (-∞ , -1) None of these (-1, ∞)​

Answer 1

Answer:

If one zero of the polynomial x2+kx+18 is double the other zero, then k=?

a. 9

b. ±9

c. 3

d. ±3

If one zero of 2x2-3x+k is the reciprocal to the other find the value of k.

a. 2

b. -23

c. -3

d. -32

Step-by-step explanation:

If one zero of the polynomial x2+kx+18 is double the other zero, then k=?

a. 9

b. ±9

c. 3

d. ±3

If one zero of 2x2-3x+k is the reciprocal to the other find the value of k.

a. 2

b. -23

c. -3

d. -32

Answer 2

Step-by-step explanation:

∣x−1∣≥∣x−3∣

⇒∣x−1∣−∣x−3∣≥0

∣x−1∣−∣x−3∣=

⎩

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎧

−2

2x−4

2

if

if

if

x<1

1≤x≤3

x>3

if x<1

⇒−2≥0 not possible

if 1≤x≤3

⇒2x−4≤0⇒x≤2⇒x∈[2,∞)

∵1≤x≤3

⇒x∈[2,3]

if x>3

⇒2≤0 is true then

x∈(3,∞)

then x∈[2,3]∪(3,∞)

x∈[2,∞)