CAN YOU PLEASE TELL ME THE SOLUTION FOR THE FOLLOWING 5X>-4 BUT THE SIGN HAS A LINE UNDER IT I REALLY NEED HELP
That means that 5x is either equal to or larger than -4. So if you just divide -4 by 5, which is -4 over 5, that is the smallest value of x possible. Therefore, x is equal to or larger than -4 over 5.
Of course! The symbol with the line under it represents "greater than or equal to," denoted as ≥. So, the inequality you have is 5x ≥ -4.
To solve this inequality, you need to isolate the variable x, just like you would with an equation. Here's how you do it step by step:
1. Divide both sides of the inequality by 5, which will give you: x ≥ -4/5.
Remember, when dividing or multiplying both sides of an inequality by a negative number, you need to flip the inequality sign. However, in this case, we're dividing by a positive number, so the inequality sign remains the same.
2. Simplify the result: x ≥ -0.8 (or -0.8 with an overline).
Therefore, the solution for the inequality 5x ≥ -4 (with the sign having a line under it) is x ≥ -0.8 (or -0.8 with an overline).