Question

For each value of x, determine whether it is a solution to 16 <_2x.

Is it a solution?
x Yes No
8
12
5
10

Answer 1

The answer is 8

Explanation:

16 is less than 2x

Divide 2x on both sides

X=16/2x

X=8

Answer 2

Given inequality,

16 ≤ 2x

Multiply both sides by
`(1)/(2)` ( > 0 )

So, the sign of inequality will not change,

`\implies 8 \leq x`

Hence, the possible values of x are, 8 or more than 8,

∵ all 9, 10 and 12 are greater than 8,

Thus, the required table that shows whether it is a solution of given inequality would be,

x Statement

9 Yes

12 Yes

5 No

10 Yes