Question

Which number is a solution of the inequality?

1. ) 10.6 < b
A. –18
B. –9
C. 7
D. 14
2.)
A. 1
B. –1
C. –9
D. –5
3.) 8 < x(7 – x)
A. 2
B. 8
C. –1
D. 0

Answer 1

Here are the answers of the given items above:
1.) 10.6 < b
The correct answer would be option D. 14. Among the given numbers, only 14 is greater than 10.6.
2. m>7/12
The correct answer would be option A. 1.
3. 8 < x(7 - x)
The correct answer would be option A. 2
Here is the solution:
8 < 2(7 - 2)
8 < 2(5)
8 < 10
Hope this helps!

Answer 2

we know that

A number is an inequality solution if the number satisfies the inequality

Part 1)
`10.6 < b`

rewrite the inequality

`b > 10.6`

The answer Part 1) is the option D
`14`

Because
`14` satisfies the inequality

`14 > 10.6` -----> is true

Part 2)
`m > 7/12`

The answer Part 2) is the option A
`1`

Because
`1` satisfies the inequality

`1 > 7/12` -----> is true

Part 3)
`8< x(7-x)`

we're going to verify every case

case A) For
`x=2`

substitute the value of x in the inequality

`8< 2(7-2)`

`8< 10` ------> is true

therefore

The number
`2` is a solution

case B) For
`x=8`

substitute the value of x in the inequality

`8< 8(7-8)`

`8< -8` ------> is not true

therefore

The number
`8` is not a solution

case C) For
`x=-1`

substitute the value of x in the inequality

`8< -1(7-(-1))`

`8< -8` ------> is not true

therefore

The number
`-1` is not a solution

case D) For
`x=0`

substitute the value of x in the inequality

`8< 0(7-0)`

`8< 0` ------> is not true

therefore

The number
`0` is not a solution

therefore

The answer Part 3) is the option A
`2`