Solve the compound inequality in interval notation

Question

4w+3<=27 and 2w-3<=1

Answer 1

Greetings! Lets solve this shall we ?

So, we must solve equation for w, then turn it into interval notation. Then,

4w + 3 ≤ 27 and 2w - 3 ≤ 1

4w ≤ 24 2w ≤ 4

w ≤ 6 w ≤ 2

Then in interval notation it yields, (-∞, 2] U [2, 6].

I hope this helped!