Question

solve the following compound inequality. graph the solutions. x<6 or x<8
x<8
x<6
e. the solutions are all real numbers.
choose the correct graph below.
a.
b.
c.
d.
b. x<8 or x<6
d. 6<x<8
f. there is no solution.

Explanation:

Step1: Analyze the compound - inequality

The compound inequality is \(x < 6\) or \(x < 8\). Since any number that is less than 6 is also less than 8, the solution of the compound inequality is \(x<8\).

Step2: Graph the solution

The graph of \(x < 8\) is a number - line with an open circle at 8 and an arrow pointing to the left.

Answer:

The solution of the compound inequality is \(x < 8\). The correct graph is the one with an open - circle at 8 and an arrow pointing to the left (assuming option B is such a graph).