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
The solution to the inequality is x ≤ 1. The line graph will represent all values of x that are less than or equal to 1, including negative numbers.
To solve the inequality 8 ≥ 3x + 5, we need to isolate the variable x. Subtracting 5 from both sides gives us 3 ≥ 3x. Dividing both sides by 3, we have x ≤ 1. The solution to the inequality is x ≤ 1. The line graph representing this solution would have a closed circle on the number line at 1, representing that 1 is included in the solution, and the line would extend to the left indicating all the numbers less than or equal to 1.
To solve the inequality 8 ≥ 3x + 5, we will subtract 5 from both sides to isolate the variable:
8 ≥ 3x + 5
8 - 5 ≥ 3x
3 ≥ 3x
Next, we divide both sides by 3:
3/3 ≥ 3x/3
1 ≥ x
So, the solution to the inequality is x ≤ 1. The line graph representing this solution would show all the values of x that are less than or equal to 1 as shaded. The line would be drawn at the value x = 1 and shaded towards the left side of the number line.