System of Inequalities

Calculate System of Inequalities instantly with the exact formula and a worked example.

System of Inequalities

a₁x ≥ b₁; a₁
b₁
a₂x ≤ b₂; a₂
b₂
Lower bound
5
x ∈ [5, 10]Calculate System of Inequalities instantly with the exact formula and a worked example.

More about: System of Inequalities

What it calculates

The “System of Inequalities” calculator computes Lower bound from 4 parameters: a₁x ≥ b₁; a₁, b₁, a₂x ≤ b₂; a₂, b₂.

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters a₁x ≥ b₁; a₁ = 1, b₁ = 5, a₂x ≤ b₂; a₂ = 1, b₂ = 10 the result is 5 (x ∈ [5, 10]).

How to use

  1. Enter a₁x ≥ b₁; a₁, b₁, a₂x ≤ b₂; a₂ and b₂ — each field above is adjustable with a slider.
  2. Lower bound is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

How is System of Inequalities calculated?
The System of Inequalities calculator computes Lower bound from a₁x ≥ b₁; a₁, b₁, a₂x ≤ b₂; a₂, b₂. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the System of Inequalities calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

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