Solve the following inequality and show the graph of the solution on the number line.

3 (1 - x) < 2 (x + 4)

Solution

3 (1 - x) < 2 (x + 4)
$rightwards double arrow$    $3 minus 3 x less than 2 x plus space 8 space rightwards double arrow space minus 3 x minus 2 x space less than space 8 minus 3 space rightwards double arrow negative 5 x less than 5$
$rightwards double arrow$    $fraction numerator negative 5 straight x over denominator negative 5 end fraction greater than fraction numerator 5 over denominator negative 5 end fraction$ (∵ -5 < 0)
$rightwards double arrow$ x > - 1
Hence, the solution of the inequality is $left parenthesis negative 1 comma space infinity right parenthesis$
Graph on the number line is:

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Binomial Theorem

Solve the following inequality and show the graph of the solution on the number line.

3 (1 - x) < 2 (x + 4)

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Binomial Theorem

Solve the following inequality and show the graph of the solution on the number line.3 (1 - x) < 2 (x + 4)

Some More Questions From Binomial Theorem Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Solve the following inequality and show the graph of the solution on the number line.

3 (1 - x) < 2 (x + 4)