Final answer:
To solve the linear inequality -5x > 25, divide both sides of the inequality by -5 and change the direction of the inequality sign. The solution is all values of x that are less than -5.
Step-by-step explanation:
To solve the linear inequality -5x > 25, we need to isolate x.
Step 1: Divide both sides of the inequality by -5 to get rid of the negative coefficient of x. This changes the direction of the inequality sign, so we have x < -5.
Step 2: The solution is all values of x that are less than -5.
To solve the linear inequality -5x > 25, we want to isolate the variable x. We start by dividing both sides of the inequality by -5, remembering that doing so with a negative number will reverse the inequality sign. This gives us:
x < -5, as our solution.
Thus, the set of all x values that satisfy the inequality are those which are less than -5. You can represent this graphically on a number line by shading all points to the left of -5, without including -5 itself (since it's a strict inequality).