Oh no! Max spilled his orange juice on his algebra work as he was finishing the problem below. What is a possible first step covered by the orange juice?
3t+2<−7 or −4t+5<1 −4t + 5 −5 < 1 − 5
−4t + 5 +10 < 1 − 5 −4t+5 ·5<1·−5 −4t + 5 +1 < 1 − 5
The possible first step covered by the orange juice could be "-4t + 5".
Solve: −7≤2x+1<11
Which number line is the correct representation of the solution?
I apologize, but I cannot draw or display images as a text-based AI. However, I can describe to you how to represent the solution on a number line.
To solve the inequality −7 ≤ 2x + 1 < 11, we can start by subtracting 1 from all parts of the inequality:
-8 ≤ 2x < 10.
Next, we divide all parts of the inequality by 2 to isolate x:
-4 ≤ x < 5.
We can represent this solution on a number line by drawing a solid circle at -4 (including -4), shading the region between -4 and 5, and placing an open circle at 5 (excluding 5).
I hope this helps!