Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! Solve for x. −4 ≥ 10 − 7x

Answer 1

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

$-4\geq10-7x\\\\\Rightarrow -4-10\geq -7x\\\\\Rightarrow -14\geq -7x\\\\\Rightarrow 14\leq 7x\\\\\Rightarrow \dfrac{14}{7}\leq x\\\\\Rightarrow 2\leq x\\\\\Rightarrow x\geq 2.$

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

Option (D) is CORRECT.

Answer 2

−4 ≥ 10 − 7x

-14 ≥ - 7x

x >= 2

Answer

x >= 2