Question

On the number line below, show the set of values of x for which –2 < x + 3 ⩽ 4

Answer 1

Answer:

-5 < x ⩽ 1

Step-by-step explanation:

Given the compount inequality

–2 < x + 3 ⩽ 4

Subtract 3 from all the sides

-2-3 < x+ 3 - 3 ⩽ 4 - 3

-5 < x ⩽ 1

This can be expressed as;

-5 <x and x ⩽ 1

x > -5 and x ⩽ 1

Hence the reqiures set of values of x are values from -4 to 1

S ={-4, -3, -2, -1, 0, 1}