Question

For which inequality would x = 4.5 not be a solution?8 x ÷ 5 > 012 - x ≥ 8x + 6 ≥ 109 x - 5 < 80

Answer 1

We need to identify the inequality for which x = 4.5 is not a solution.

We can do so by replacing x on the left side of each equation, evaluating the expression, and checking if the inequality holds.

We have:

`8x/5=8\cdot4.5/5=36/5=7.2>0`
`12-x=12-4.5=7.5<8\text{ \lparen not }\geqslant8)`
`x+6=4.5+6=10.5\geqslant10`
`9x-5=9\cdot4.5-5=40.5-5=35.5<80`

Therefore, the only inequality for which x = 4.5 is not a solution is:

Answer

12 - x ≥ 8