In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions.y = 2x - 11 + 3(x + 2) and y is at most 0

A linear equation is an algebraic expression that represents a straight line when graphed. It typically takes the form y = mx + b, where m is the slope and b is the y-intercept. In this question, the equation y = 2x - 11 + 3(x + 2) must be simplified to identify the values of x that satisfy the condition y ≤ 0.

An inequality is a mathematical statement that compares two expressions, indicating that one is less than, greater than, or equal to the other. In this case, we are interested in the inequality y ≤ 0, which means we need to find the range of x values for which the linear expression results in a value of y that is less than or equal to zero.

Interval notation is a way of representing a range of values on the number line. It uses brackets and parentheses to indicate whether endpoints are included or excluded. For example, [a, b] includes both a and b, while (a, b) excludes them. In this problem, once the values of x that satisfy the inequality are determined, they will be expressed in interval notation to clearly communicate the solution set.