Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Solve for x.

−4 ≥ 10 − 7x

Answer 1

−4 ≥ 10 − 7x

-14 ≥ - 7x

x >= 2

Answer

x >= 2

Answer 2

Answer: The correct option is (D)
`x\geq 2.`

Step-by-step explanation: We are given to solve the following inequality for x :

`-4\geq10-7x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following rule of inequalities :

`-a\geq -b~~~\Rightarrow a\leq b.`

From inequality (i), we get

`-4\geq10-7x\\\\\Rightarrow -4-10\geq -7x\\\\\Rightarrow -14\geq -7x\\\\\Rightarrow 14\leq 7x\\\\\Rightarrow (14)/(7)\leq x\\\\\Rightarrow 2\leq x\\\\\Rightarrow x\geq 2.`

Thus, the required solution is
`x\geq 2.`

Option (D) is CORRECT.