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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