Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve.
−25x−9<910
To solve the inequality −25x − 9 < 910, we need to isolate the variable x on one side of the inequality sign.
Step 1: Add 9 to both sides of the inequality:
−25x − 9 + 9 < 910 + 9
This simplifies to:
−25x < 919
Step 2: Divide both sides of the inequality by −25. Note that since we are dividing by a negative number, the inequality sign will flip.
−25x/-25 > 919/-25
This simplifies to:
x > -36.76
Therefore, the solution to the inequality −25x − 9 < 910 is x > -36.76.
check my answer if the final answer is x<-9.5
Let's check if x < -9.5 is a valid solution to the inequality −25x − 9 < 910.
Substituting x = -9.5 into the inequality:
−25(-9.5) − 9 < 910
238.5 - 9 < 910
229.5 < 910
Since 229.5 is indeed less than 910, the solution x < -9.5 is correct.
To solve the inequality −25x − 9 < 910, we need to isolate the variable x.
Step 1: Start by adding 9 to both sides of the inequality to remove the constant term on the left side:
−25x − 9 + 9 < 910 + 9
Simplifying, we get:
−25x < 919
Step 2: Next, divide both sides of the inequality by -25. Remember that when dividing both sides of an inequality by a negative number, the direction of the inequality sign is reversed:
−25x / -25 > 919 / -25
Simplifying, we get:
x > -36.76
Therefore, the solution to the inequality −25x − 9 < 910 is x > -36.76.