Which inequality is true for x = 20?

Step-by-step explanation:

The options are :

A. x + 30 < 3x

B. x - 5 < 2x - 35

C. x divided by 4 < x - 12

D. 2x < x + 22

Option (A) :

x + 30 < 3x

Put x = 20 on both sides

LHS = 20 + 30 = 50

RHS = 3(20) = 60

50<60

The option is correct.

Option (B) :

x - 5 < 2x - 35

Put x = 20 on both sides

LHS = x-5 = 20-5 = 15

RHS = 2x - 35  = 2(20) -35 = 5

15<5

The option is incorrect.

Option (C) :

x/4 < x - 12

Put x = 20 on both sides

LHS = 20/4 = 5

RHS = x - 12 = 20-12 = 8

5<8 (correct)

Option (D) :

2x < x + 22

Put x = 20 on both sides

LHS = 2x = 2(20) = 40

RHS = x+22 = 20 + 22 = 44

40<44

It is true. The option is correct.

Hence, option A, B and D are correct.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3