Question

Choose the value of X that makes the open sentence true

Answer 1

Answer:

Option A - 4

Step-by-step explanation:

Given : Inequality $30 - x^2 < 3x + 7$

To find : Choose the value of x that makes the open sentence true  ?

Solution :

We substitute the value of x from options to check which is true,

A) x=4

$30 - 4^2 < 3(4) + 7$

$30-16 < 12+ 7$

$14< 19$

It is true.

B) x=3

$30 - 3^2 < 3(3) + 7$

$30-9< 9+ 7$

$21< 16$

It is false.

C) x=2

$30 - 2^2 < 3(2) + 7$

$30-4$

$26< 13$

It is false.

D) x=1

$30 - 1^2 < 3(1) + 7$

$30-1$

$29< 10$

It is false.

Therefore, Option A is correct.

Answer 2

A 30- 16=14       3*4+7=19  14<19 correct
b 30-9=21          3*3+7=16  21>16  incorrect
c 30-4=26          3*2+7=13   26>13 incorrect
d 30-1=29          3*1+7=10   29>10 incorrect

the answer is a