Can I please get someones help:
Solve: 0.9x+9<_1.7x-8
Glen~
Are you trying to figure out which side of the equation is greater than?
If so this is how it comes out if I remember correctly from my previous MAT class.
0.9x + 9 < 1.7x-8
9.9x>-6.3
0.9X + 9 <= 1.7X - 8.
Add -1.7X AND -9 to both sides:
0.9X - 1.7X <= -8 -9,
Combine like-terms:
-0.8X <= -17,
Divide both sides by -0.8 and reverse inequality sign:
X => 21.25.
:
Of course, I'd be happy to help you solve the inequality.
To solve the inequality 0.9x + 9 ≤ 1.7x - 8, we will follow these steps:
Step 1: Move all terms containing x to one side of the inequality.
Start by subtracting 0.9x from both sides:
9 ≤ 1.7x - 0.9x - 8
Simplify:
9 ≤ 0.8x - 8
Step 2: Move the constant terms to the other side of the inequality.
Add 8 to both sides:
9 + 8 ≤ 0.8x - 8 + 8
Simplify:
17 ≤ 0.8x
Step 3: Divide both sides by the coefficient (0.8) of x to solve for x.
Divide both sides by 0.8:
17/0.8 ≤ 0.8x/0.8
Simplify:
21.25 ≤ x
So, the solution to the inequality is x ≥ 21.25.
Please note that whenever you perform operations on both sides of an inequality, you need to consider the direction of the inequality sign. In this case, since we divided by a positive number (0.8), the inequality symbol remains the same (≤).