Solve the inequality and graph the solution on the line provided.

-7+7x≤ =14

Answer Attempt 1 out of 3
Inequality Notation:

-7 + 7x ≤ 14

To solve the inequality, we can first add 7 to both sides to isolate the variable:

-7 + 7 + 7x ≤ 14 + 7

Simplifying:

7x ≤ 21

Next, we can divide both sides by 7 to solve for x:

(7/7)x ≤ 21/7

Simplifying:

x ≤ 3

The solution to the inequality is x ≤ 3.

To graph the solution on the number line, we can draw a closed circle at 3 and shade the line to the left.

This is incorrect

Apologies for the mistake. Let's correct the solution:

To solve the inequality, we can first add 7 to both sides to isolate the variable:

-7 + 7 + 7x ≤ 14 + 7

Simplifying:

7x ≤ 21

Next, we can divide both sides by 7 to solve for x:

(7/7)x ≤ 21/7

Simplifying:

x ≤ 3

The solution to the inequality is x ≤ 3.

To graph the solution on the number line, we can draw a closed circle at 3 and shade the line to the right.

Solve the inequality and graph the solution on the line provided.

4x + 45 <with a line under it 57

Answer Attempt 1 out of 3

Inequality Notation:

To solve the inequality:

4x + 45 < 57

First, subtract 45 from both sides:

4x < 57 - 45

Simplifying:

4x < 12

Next, divide both sides by 4 to solve for x:

x < 12/4

Simplifying:

x < 3

The solution to the inequality is x < 3.

To graph the solution on the number line, we can draw an open circle at 3 and shade the line to the left.

Solve the inequality and graph the solution on the number line provided

4x + 45 ≤ 57

Inequality notation:

To solve the inequality:

4x + 45 ≤ 57

First, subtract 45 from both sides:

4x + 45 - 45 ≤ 57 - 45

Simplifying:

4x ≤ 12

Next, divide both sides by 4 to solve for x:

4x/4 ≤ 12/4

Simplifying:

x ≤ 3

The solution to the inequality is x ≤ 3.

To graph the solution on the number line, we can draw a closed circle at 3 and shade the line to the left.