Solve the inequality and complete a line graph representing the solution. In a minimum of two sentences, describe the solution and the line graph.
8 ≥ 3x + 5
To solve the inequality, we need to isolate the variable x. Subtracting 5 from both sides of the equation gives us 3x ≤ 3. Dividing both sides by 3, we find x ≤ 1. The line graph representing the solution would have a shaded area to the left of x = 1, indicating all values of x that satisfy the inequality.
To solve the inequality 8 ≥ 3x + 5, we would subtract 5 from both sides to isolate the variable: 3x ≤ 3. Then, we would divide both sides of the inequality by 3 to solve for x: x ≤ 1. The line graph representing this solution would include all the values of x that are less than or equal to 1, with a closed dot at 1 on the number line to indicate that 1 is included in the solution set.
To solve the inequality 8 ≥ 3x + 5, we need to isolate the variable x. First, subtract 5 from both sides of the inequality to get 3x ≤ 3. Then, divide both sides of the inequality by 3 to get x ≤ 1. The solution to the inequality is x ≤ 1.
To represent this solution on a line graph, draw a horizontal line at y = 8 on the y-axis. Then, shade the region to the left of the line extending indefinitely to represent all values of x that are less than or equal to 1.