To find: The solution of the inequality and interval notation. The given inequality equation is: displaystyle{2}{left({x}-{3}right)}-{5}le{3}{left({x}+{2}right)}-{18}

beljuA 2020-11-23 Answered
To find: The solution of the inequality and interval notation.
The given inequality equation is:
2(x3)53(x+2)18
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Expert Answer

Caren
Answered 2020-11-24 Author has 96 answers
Consider the following steps to solve linear inequality in one variable:
If an inequality contains fractions or decimals, multiply both sides by the LCD to clear the equation of fractions or decimals.
Use the distributive property to remove parentheses if they are present.
Simplify each side of the inequality by comining like terms.
Get all variable terms on one side and all numbers on the other side by using the addition property of inequality.
Get the variable alone by using the multiplication property of inequality.
The given inequality equation is,
2(x3)53(x+2)18
2x2353x+3218
2x653x+618
2x113x3x123x
Simplify further,
x1112
x11+1112+11
x111
x1
The interval notation of the inequality is written as [1,).
Therefore, the solution of the inequality is x1 and the interval notation is [1,).
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