Question
what are all integer values of x in the interval 5≤x<10 that satisfy the following inequality: -2x+1>-11
Answers
GPT 3.5
To solve the inequality, we need to isolate the variable x.
We start by subtracting 1 from both sides:
-2x + 1 - 1 > -11 - 1
-2x > -12
Next, we divide both sides by -2. Remember that when dividing by a negative number, the inequality sign flips:
(-2x) / -2 < -12 / -2
x < 6
Therefore, all the integer values of x in the interval 5≤x<10 that satisfy the inequality -2x + 1 > -11 are x = 5.
We start by subtracting 1 from both sides:
-2x + 1 - 1 > -11 - 1
-2x > -12
Next, we divide both sides by -2. Remember that when dividing by a negative number, the inequality sign flips:
(-2x) / -2 < -12 / -2
x < 6
Therefore, all the integer values of x in the interval 5≤x<10 that satisfy the inequality -2x + 1 > -11 are x = 5.