Question

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

Answer 1

I think its -10 on edge because I plugged in -10 into the equation and it came out as true unlike the other ones which are -5, 5 and 10 which are false on the calculator. hope it helps

Answer 2

x
`\leq -7`

Explanation:

3(x – 4) ≥ 5 x + 2

here we need to calculate the solution set of 3(x – 4) ≥ 5 x + 2 i.e for what value of x, the given statement will hold true. Hence, when we put any value of x from the solution set of the given equation into the equation, the result will always follow the conditions given in the equation.

`\therefore` 3(x – 4) ≥ 5 x + 2

`\Leftrightarrow` 3x-12
`\geq` 5 x +2

`\Leftrightarrow` -12-2
`\geq`5 x-3x

`\Leftrightarrow` -14
`\geq` 2 x

`\Leftrightarrow` -7
`\geq` x

`\therefore` x
`\leq` -7

Hence, for every value of x
`\leq`- 7, the given equation always holds true.