simplify the inequalities

Question

give that x is a negative integer, write 4 values of x that statisfy the inequalities x+2>-3

Answer 1

Given inequality is x + 2 >- 3

Add -2 on each side

x + 2 -2>-3 - 2

x > -5

Multiply eachside by -1.

-x < 5

 

Answer 2

The inequality x + 2 > - 3

Subtract 2 from each side of inequality.

x + 2 - 2 > - 3 - 2

x > - 5

Solution {x | x : x > -5 }

To satisfy the inequality x must be negitive integer grearter than -5.

-1, -2, -3, -4 are 4 negative integers greater than -5.

Check

Substitute  x = -1 in x + 2 > -3

1 > -3

The above statement is true.

Substitute  x = -2 in x + 2 > -3

0 > -3

The above statement is true.

-1 > -3

The above statement is true.

-2 > -3

The above statement is true.

The 4 negative integers are -1 , -2 , -3 , -4.