List the integral values of which satisfy the inequality -2 less than 7 minus 3x less than or equals to 10

2 answers

-2 < 7-3x ≤ 10
subtract 7 from everybody
-9 < -3x ≤ 3
divide everybody by -3, must switch inequality sign
3 > x ≥ -1

-1 ≤ x < 3
so integral values are {-1, 0, 1, 2}
Can't any other number be substracted instead of 7,