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Inequalities Calculator

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Example
Created on 2024-06-20Asked by Sebastian Lopez (Solvelet student)
Solve the inequality 3x5<2x+4 3x - 5 < 2x + 4 .

Solution

To solve the inequality 3x5<2x+4 3x - 5 < 2x + 4 : First, isolate x x on one side of the inequality. Subtract 2x 2x from both sides: 3x2x5<4 3x - 2x - 5 < 4 x5<4 x - 5 < 4 Next, add 5 to both sides: x5+5<4+5 x - 5 + 5 < 4 + 5 x<9 x < 9 Therefore, the solution to the inequality 3x5<2x+4 3x - 5 < 2x + 4 is: x<9 x < 9 Solved on Solvelet with Basic AI Model
Some of the related questions asked by Benjamin Torres on Solvelet
1. Solve the inequality 2x5>3x+12x - 5 > 3x + 1,2. Find the general solution to the boundary value problem for the second-order linear differential equation yy=0y'' - y = 0 with boundary conditions y(0)=0y(0) = 0 and y(π)=2y(\pi) = 2.,
DefinitionIn mathematics, inequalities are the poetry of the common language, used to describe the relationship between two values that are shown to be unequal. They utilise symbols such as <,≤, >, and ≥ to evaluate quantities Inequalities play a fundamental role in algebra and in calculus and, hence, in mathematical optimization where they are frequently used to define ranges (constraints), which are levels of admissible solutions, and hemps where they are used to define the part of a subset in the n-dimensional space. For Example: 2x + 3 ≤ 7, which is an inequality to describe an interval of x values that work, the solution of the inequality yields x ≤ 2.
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