Nora solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?

Without the list of options, it is not possible to determine which inequality Nora solved.

Nora solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?

(1 point)
Responses

1.75x<3.5
1.75 x less than 3.5

6x<10.5
6 x less than 10.5

4x>7
4 x greater than 7

8x>14

Without knowing the specific inequality that Nora solved, we cannot determine which one of the given options she solved.

Line starts at 1.75 and ends at -10

Based on the given information, Nora solved the inequality 1.75x > -10.

Solve the inequality 2/3x≤5 . Which of the following graphs shows the solution? (1 point)

To solve the inequality 2/3x ≤ 5, we need to isolate x.

We can start by multiplying both sides of the inequality by 3/2 to get rid of the fraction:
(3/2)(2/3x) ≤ (3/2)(5)
x ≤ 15/2 or x ≤ 7.5

The solution to the inequality is x ≤ 7.5.

Now, let's examine the given graphs to determine which one shows the solution x ≤ 7.5. Since the options for the graphs are not stated, I am unable to provide a specific answer. However, the graph that represents the solution x ≤ 7.5 should include all the numbers less than or equal to 7.5 on the number line, typically shown as a closed circle at 7.5 and a shaded line to the left.