English, asked by 17CS1K2113, 7 months ago

2.
If 4 SX 5 9 then which of the following is
true?
(A) (x-4) (X - 9) <0
(B) (x-4) (x - 9) > 0
(C) (x-4) (x-9) SO
(D) (x-4) (x-9) 2 0​

Answers

Answered by chaudharyavantika63
1

Answer:

Simplifying

(x + -4)(x + 9) = 0

Reorder the terms:

(-4 + x)(x + 9) = 0

Reorder the terms:

(-4 + x)(9 + x) = 0

Multiply (-4 + x) * (9 + x)

(-4(9 + x) + x(9 + x)) = 0

((9 * -4 + x * -4) + x(9 + x)) = 0

((-36 + -4x) + x(9 + x)) = 0

(-36 + -4x + (9 * x + x * x)) = 0

(-36 + -4x + (9x + x2)) = 0

Combine like terms: -4x + 9x = 5x

(-36 + 5x + x2) = 0

Solving

-36 + 5x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-9 + -1x)(4 + -1x) = 0

Subproblem 1

Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying

-9 + -1x = 0

Solving

-9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.

-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0

0 + -1x = 0 + 9

-1x = 0 + 9

Combine like terms: 0 + 9 = 9

-1x = 9

Divide each side by '-1'.

x = -9

Simplifying

x = -9

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying

4 + -1x = 0

Solving

4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 0 + -4

-1x = 0 + -4

Combine like terms: 0 + -4 = -4

-1x = -4

Divide each side by '-1'.

x = 4

Simplifying

x = 4

Solution

x = {-9, 4}

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