Question

solve the following inequation and represent the solution on the number line -4<x<8 x is a natural number​

Answer 1

Step-by-step explanation:

xjxjhxdikfdjkfkduskfjxnxcj

Answer 2

Step-by-step explanation:

2x−3<x+2≤3x+5

Let's break this up into two parts

First

2x−3<x+2 (add 3 to both sides)

2x<x+5 (subtract x from both sides)

x<5

Secondly

x+2≤3x+5

(subtract 5 from both sides)

x−3≤3x (subtract x from both sides)

−3<=2x divide both sides by 2)

−3≤2x (which also means x≥−

2

3

)

Thus

2

3

≤x<5

Or in interval notation

2

3

,5)

Try picking some values outside this interval. You'll find that they won't satisfy both inequalities