a number line goes left from 4 to -10.
Pueblo solves an inequality and graphical solution on the number line. which of the following and qualities did he solve?
answer: 2.1x < 8.4
can you explain why that answer is correct?
To determine why the answer is correct, let's solve the inequality and interpret it graphically.
The inequality is:
2.1x < 8.4
To solve it, we need to isolate x. We start by dividing both sides of the inequality by 2.1 (note: since 2.1 is positive, we don't need to flip the inequality sign):
2.1x/2.1 < 8.4/2.1
x < 4
The solution is x < 4, which means all values of x less than 4 satisfy the inequality. Now let's represent this solution on the number line.
Since the number line goes left from 4 to -10, we start drawing it from -10 and move towards 4. We represent 4 with an open circle (indicating that it is not included in the solution) since the inequality is strict (x < 4).
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
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On the number line, to represent x < 4, we draw an arrow to the left starting from the open circle. This arrow indicates that all values to the left of 4, including -10, -9, -8, ..., satisfy the inequality.
Therefore, the graphical representation of the inequality 2.1x < 8.4 on the number line matches the solution shown in answer option 2.
yes but how would I get the answer 2.1x < 8.4?
Apologies for the confusion. It seems there was a misunderstanding in the initial question.
Given a number line that goes left from 4 to -10, Pueblo solved an inequality and its graphical representation on the number line. Based on the information provided, we cannot determine the specific inequality that Pueblo solved, as it can vary.
To find the correct answer, we would need the specific details of the inequality or more information.