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Solve the linear inequality -5x > 25 from the Apex 1.4.1 study.

User Man
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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).

User Aliaksei Yatsau
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