Solve the following equation
5v+45<8v
Solve for v
5v + 45 < 8v
Group variables
Group our variables 5v and 8v
subtract 8v from both sides
5v + 45 - 8v < 8v - 8v
Cancel 8v on the right side:
-3v + 45 < 0
Divide each side by 5
| 5v | |
| 5 |
| = |
| 45 |
| 5 |
Group constants
Group our constants 45 and 0.
subtract 45 from both sides
-3v + 45 - 45 < 0 - 45
Cancel 45 on the left side:
-3v < -45
Divide each side of the inequality by -3
| -3v | |
| -3 |
| < |
| -45 |
| -3 |
Since -3 < 0, reverse our sign from < to >
v > 15
Final Answer
v > 15
Common Core State Standards In This Lesson
6.EE.B.5, 6.EE.B.7, 8.EE.A.2, 8.EE.C.7.B, HSA.CED.A.1, HSA.REI.A.1, HSA.REI.A.2, HSA.REI.B.3, HSA.REI.B.4.B
What is the Answer?
v > 15
How does the Equation and Inequalities Calculator work?
Free Equation and Inequalities Calculator - Solves an equation or inequality with 1 unknown variable and no exponents as well as certain absolute value equations and inequalities such as |x|=c and |ax| = c where a and c are constants. Solves square root, cube root, and other root equations in the form ax^2=c, ax^2 + b = c. Also solves radical equations in the form asqrt(bx) = c. Also solves open sentences and it will solve one step problems and two step equations. 2 step equations and one step equations and multi step equations
This calculator has 1 input.
This calculator has 1 input.
What 3 formulas are used for the Equation and Inequalities Calculator?
One Step Equations (Division):
cx = b
x = b/c
One Step Equations (Addition): x + c = b x = b - c
One Step Equations (Subtraction): x - c = b x = b + c
One Step Equations (Addition): x + c = b x = b - c
One Step Equations (Subtraction): x - c = b x = b + c
What 4 concepts are covered in the Equation and Inequalities Calculator?
- equation
- a statement declaring two mathematical expressions are equal
- equation and inequalities
- unknown
- a number or value we do not know
- variable
- Alphabetic character representing a number
