Question

Solve for x -6 >_ 10 - 4x

Answer 1

We are given this inequality,

$-6\geq10-4x$

We will follow these steps to solve it:

Step 1:

First let us bring 10 to the left side.

10 is in addition on right, so we apply opposite operation of addition that is subtracting 10 from left side, we get

$-6-10\geq-4x$

$-16\geq-4x$

Step 2:

Next we have to eliminate -4 which is in multiplication with x on the right side.

So applying opposite operation of multiplication that is dividing both sides by -4.

We have to consider here that when we divide or multiply with a negative the sign of inequality reverses, that is ≥ becomes ≤ and vice versa.

$\frac{-16}{-4}\leq x$

x≥4

Answer is last option x≥4.