Inequalities help us to compare two unequal expressions. The value of x which is the solution set of 9(2x+1)<9x–18 is -4.
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
To know which value will satisfy the inequality we need to substitute each of the values into the inequality,
A) x=-4
[tex]9(2x+1) < (9x-18)\\\\9[2(-4)+1] < [9(-4)-18]\\\\9(-8+1) < (-36-18)\\\\9(-7) < -54\\\\-63 < -54[/tex]
Since the inequality is satisfied this is the solution set of the inequality.
Thus, the value of x which is the solution set of 9(2x+1)<9x–18 is -4.
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