Question

−18x+21>−15 OR 20x−13≥27minus, 18, x, plus, 21, is greater than, minus, 15, start color #ed5fa6, start text, space, O, R, space, end text, end color #ed5fa6, 20, x, minus, 13, is greater than or equal to, 27 Choose 1 answer: Choose 1 answer:

(Choice A) A x<-2x<−2x, is less than, minus, 2 or x\geq 2x≥2x, is greater than or equal to, 2.
(Choice B) B x=-2x=−2x, equals, minus, 2.
(Choice C) C x\geq 2x≥2x, is greater than or equal to, 2.
(Choice D) D There are no solutions.
(Choice E) E All values of xxx are solutions.

Answer 1

Hey There Answer (Choice E) E All Values Of XXX Are Solutions

Explanation:

Answer 2

E. All values of x are solutions.

Explanation:

Given compound inequality,

`-18x+21 > -15\text{ or }20x - 13 \geq 27`

∵ a > b ⇒ a + c > b + c ∀ a, b, c ∈ R,

`-18x > -15 - 21\text{ or }20x \geq 27 + 13`

`-18x > -36\text{ or }20x \geq 40`

∵ a > b ⇒
`(a)/(c) > (b)/(c)` if c > 0,

a > b ⇒
`(a)/(c) < (b)/(c)` if c < 0,

So,

`x < 2\text{ or } x \geq 2`

`\implies x\in (-\infty, \infty)`

i.e. All values of x are solutions.

OPTION E is correct.