Respuesta :
Answer:
x [tex]\leq -7[/tex]
Step-by-step 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.
[tex]\therefore[/tex] 3(x – 4) ≥ 5 x + 2
[tex]\Leftrightarrow[/tex] 3x-12 [tex]\geq[/tex] 5 x +2
[tex]\Leftrightarrow[/tex] -12-2 [tex]\geq[/tex]5 x-3x
[tex]\Leftrightarrow[/tex] -14[tex]\geq[/tex] 2 x
[tex]\Leftrightarrow[/tex] -7 [tex]\geq[/tex] x
[tex]\therefore[/tex] x [tex]\leq[/tex] -7
Hence, for every value of x [tex]\leq[/tex]- 7, the given equation always holds true.
Answer
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
