What integer values satisfy both inequalities? − 2 < x < 3 − 2 ≤ x < 2

Question

asked Dec 6, 2022 227k views

1 Answer

Khelben · Answer 1 · 2022-12-11T17:42:29+0000

Given:

The inequalities are:

-2<x<3

$-2\leq x<2$

To find:

The integer values that satisfy both inequalities.

Solution:

We have,

-2<x<3

$-2\leq x<2$

For
-2<x<3 , the possible integer values are

x=-1,0,1,2 ...(i)

For
$-2\leq x<2$ , the possible integer values are

x=-2,-1,0,1 ...(ii)

The common values of x in (i) and (ii) are

x=-1,0,1

Therefore, the integer values -1, 0 and 1 satisfy both inequalities.