Question

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

Answer 1

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

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.

`(-8K)/(-8)\leq (-56)/(-8)\\K\leq 7`

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