The inequality -2a - 5 > 3 is solved step by step, resulting in a < -4. The attached graph visually supports the solution, demonstrating that values of a less than -4 satisfy the original inequality.
The given inequality is -2a - 5 > 3. To find the solution, we first isolate the variable a. Adding 5 to both sides, we get -2a - 5 + 5 > 3 + 5, which simplifies to -2a > 8. Dividing both sides by -2, we need to reverse the inequality sign, resulting in a < -4.
In further detail, when dividing by a negative number, the inequality sign flips. So, -2a/a > 8/2 becomes a < -4. This means any value of a that is less than -4 will satisfy the original inequality.
The attached graph visually represents this solution. The graph illustrates the range of values for a that make the inequality -2a - 5 > 3 true. In this case, it is shown that a is less than -4.
In summary, the solution to the inequality -2a - 5 > 3 is a < -4. The step-by-step process involved adding, simplifying, and dividing to isolate the variable and determine the range of values for a. The attached graph visually confirms this solution.
The question probable may be:
Solve -2a-5>3. which graph shows the solutions?