Solve the inequality 4x>10 . Which of the following graphs shows the solution? (1 point)

Answer 1

Since we have 4x > 10, we need to isolate x.
We divide both sides of the inequality by 4:

4x/4 > 10/4
x > 2.5

The solution to the inequality is x > 2.5.

Now we look at the graphs:

Graph (A) shows x < 2.5, which is the opposite of what we want.
Graph (B) shows x > 2.5, which matches our solution.
Graph (C) shows x ≤ 2.5, which is also the opposite of what we want.
Therefore, the correct graph is (B).

Answer 2

so right or left?

Answer 3

I apologize for the confusion. To clarify, the correct graph for the inequality 4x > 10 is the one that shows x > 2.5.

Looking at the options given, if the graph has a shaded region to the right of a vertical line at x = 2.5, then that would be the correct graph. This represents all values of x that are greater than 2.5 which satisfies the inequality 4x > 10.

Therefore, the correct graph would be the one that extends to the right of a vertical line at x = 2.5.