To solve this inequality, we will isolate the variable x in the middle expression and then solve for x.
1 < 15 - 7x < 2 Subtract 15 from all parts of the inequality: -14 < -7x < -13 Divide all parts by -7, but remember that when we divide by a negative number, the direction of the inequality sign changes: 14/7 > x > 13/7 2 > x > 13/7
Therefore, the solution to the inequality is x is greater than 13/7 but less than 2.
To solve this inequality, we will isolate the variable x in the middle expression and then solve for x.
1 < 15 - 7x < 2
Subtract 15 from all parts of the inequality:
-14 < -7x < -13
Divide all parts by -7, but remember that when we divide by a negative number, the direction of the inequality sign changes:
14/7 > x > 13/7
2 > x > 13/7
Therefore, the solution to the inequality is x is greater than 13/7 but less than 2.