Problema Solution
define the term linear inequality and then explain what it means to solve a linear inequality. Explain how th solution to the inequality 2x-5 differs from the solution to the equation 2x-5=25
Answer provided by our tutors
We define a Linear Inequality as a linear expression involving one or two variables by
using any of the relational symbols such as <, >, ≤ or ≥. For example, x+y>2, x≥3 are
examples of linear inequalities as powers of and y are 1. For an inequality to be linear,
the power of variables should be 1 only. When the power of varibles is more than 1, it
becomes a non-linear ineuality.
Let us solve inequality
2x-5< 25
2x < 30
x< 15.
The solution to inequality is set of all the numbers less than 15.
Let us solve equation
2x-5 = 25
2x = 30
x = 15
The solution to equation is only one number.
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