Choose the correct solution and graph for the inequality. y-1/3>1/8. y<9/24 (1 point) Responses Image with alt text: y less-than Start Fraction 9 over 24 End Fraction Image with alt text: A number line has an open circle at 9 over 24 and is filled in to the left. Image with alt text: y less-than negative Start Fraction 9 over 24 End Fraction Image with alt text: A number line has an open circle at negative 9 over 24 and is filled in to the left. Image with alt text: y greater-than Start Fraction 11 over 24 End Fraction Image with alt text: A number line has an open circle at 11 over 24 and is filled in to the right. Image with alt text: y greater-than negative Start Fraction 3 over 24 End Fraction Image with alt text: A number line has an open circle at negative 3 over 24 and is filled in to the right.

Question

Choose the correct solution and graph for the inequality. y-1/3>1/8. y<9/24 (1 point) Responses Image with alt text: y less-than Start Fraction 9 over 24 End Fraction Image with alt text: A number line has an open circle at 9 over 24 and is filled in to the left. Image with alt text: y less-than negative Start Fraction 9 over 24 End Fraction Image with alt text: A number line has an open circle at negative 9 over 24 and is filled in to the left. Image with alt text: y greater-than Start Fraction 11 over 24 End Fraction Image with alt text: A number line has an open circle at 11 over 24 and is filled in to the right. Image with alt text: y greater-than negative Start Fraction 3 over 24 End Fraction Image with alt text: A number line has an open circle at negative 3 over 24 and is filled in to the right.

Answer 1

The correct solution and graph for the inequality y-1/3 > 1/8 is:

Image with alt text: y < 9/24

A number line has an open circle at 9/24 and is filled in to the left.

Answer 2

The correct solution and graph for the inequality y - 1/3 > 1/8, y < 9/24 is:

Image: A number line has an open circle at 9/24 and is filled in to the left.

Answer 3

To solve the inequality y - 1/3 > 1/8, we can follow these steps:

1. Start by isolating the variable y on one side of the inequality. Add 1/3 to both sides of the inequality to get:
y > 1/8 + 1/3

2. Simplify the right side of the inequality by finding a common denominator for 1/8 and 1/3. The common denominator is 24. Rewrite the inequality as:
y > 3/24 + 8/24

3. Combine the fractions on the right side of the inequality:
y > 11/24

Now that we have solved the inequality algebraically, let's represent it on a number line:

(Image) A number line with an open circle at 11/24 and filled in to the right.

This represents all the values of y that are greater than 11/24. Since the original inequality was y - 1/3 > 1/8, we have to exclude 11/24 from the solution since y cannot be equal to it. Therefore, we use an open circle to indicate exclusion.

Thus, the correct solution and graph for the inequality y - 1/3 > 1/8 is represented by the given image with an open circle at 11/24 and filled in to the right of it.