Solve the inequality: \(-7 \le 9 - 8x < 16 - x\)
Question 1 Report
Solve the inequality: \(-7 \le 9 - 8x < 16 - x\)
Answer Details
We can solve the inequality by first simplifying the expression on the right-hand side: 9 - 8x < 16 - x Subtracting 9 from both sides gives: -8x < 7 - x Subtracting x from both sides gives: -7x < 7 Dividing both sides by -7 (and reversing the inequality because we are dividing by a negative number) gives: x > -1 Now we can focus on the left-hand side of the original inequality: -7 ≤ 9 - 8x Subtracting 9 from both sides gives: -16 ≤ -8x Dividing both sides by -8 (and reversing the inequality) gives: 2 ≥ x Putting these two results together, we have: -1 < x ≤ 2 So the correct option is: -1 < x ≤ 2.
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