Question

Solve
28 - K _> 7(K - 4)

Answer 1

Answer:

Solving the inequality $28-K\geq 7(K-4)$, we get $\mathbf{K\leq 7}$

Step-by-step explanation:

We need to solve the inequality $28-K\geq 7(K-4)$

Using the BODMAS rule, first we will solve the bracket:

$28-K\geq 7(K-4)\\28-K\geq 7K-28$

Now, we will subtract 28 from both sides

$28-K-28\geq 7K-28-28\\-K\geq 7K-56$

Subtracting -7k on both sides

$-K-7K\geq 7K-56-7K\\-8k\geq -56$

Finally, divide both sides by -8 and inverse the inequality, as we are dividing with a minus digit.

$\frac{-8K}{-8}\leq \frac{-56}{-8}\\K\leq 7$

So, solving the inequality $28-K\geq 7(K-4)$ we get $\mathbf{K\leq 7}$