Help me please. Not sure how to solve this. Can someone show me how to do it step by step. -2/5x-9<9/10
you bring -9 to the other side so it'll be 9+9/10. make common denominator and solve it.
then divide -2/5 by the answer of the above. so you will have x is < answer you'll get
Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve.
-2/5x-9<9/10
To solve the inequality -2/5x - 9 < 9/10, follow these steps:
Step 1: Start by isolating the variable term (x) by moving other terms to the other side of the inequality sign. We can do this by adding 9 to both sides of the inequality:
-2/5x - 9 + 9 < 9/10 + 9
Simplifying:
-2/5x < 9/10 + 90/10
Step 2: Combine the fractions on the right side:
-2/5x < (9 + 90)/10
Simplifying further:
-2/5x < 99/10
Step 3: To get rid of the coefficient (-2/5), divide both sides of the inequality by -2/5. Remember, when dividing by a negative number, the direction of the inequality sign changes:
(-2/5x) / (-2/5) > (99/10) / (-2/5)
Simplifying:
x > (99/10) * (-5/2)
Step 4: Multiply the fractions to get:
x > -495/20
Step 5: Simplify the fraction -495/20:
x > -24.75
Therefore, the solution to the inequality -2/5x - 9 < 9/10 is x > -24.75.
Sure! I can help you solve the inequality -2/5x - 9 < 9/10. To solve this inequality, we need to isolate the variable (x) on one side of the inequality sign.
Step 1: Let's start by adding 9 to both sides of the inequality to get rid of the -9 on the left side:
-2/5x - 9 + 9 < 9/10 + 9/10
Simplifying this, we have:
-2/5x < 9/10 + 18/10
-2/5x < 27/10
Step 2: Now, we need to get rid of the -2/5 coefficient multiplying x. To do this, we'll multiply both sides of the inequality by -5/2 (which is the reciprocal of -2/5). Note that when multiplying or dividing an inequality by a negative number, the inequality sign changes direction.
So, multiplying both sides by -5/2 we have:
(-5/2)(-2/5x) > (-5/2)(27/10)
Simplifying this, we get:
x > -135/20
Step 3: Lastly, we can reduce the fraction -135/20 to its simplest form:
x > -6.75
So, the solution to the inequality -2/5x - 9 < 9/10 is x > -6.75.
To verify this solution, you can substitute any value greater than -6.75 into the original inequality and confirm that it holds true.