Question

Write an inequality that describes all the solutions to -3(4 – x) 6 < 9 – 2x.

Answer 1

The solution to the inequality is (-∞, 4.05)

An inequality is a relationship that shows a non-equal comparison between two numbers or mathematical expressions.

Given the inequality:

-3(4 – x) 6 < 9 – 2x

Solving the inequality:

(-12 + 3x)6 < 9 - 2x

-72 + 18x < 9 - 2x

20x < 81

x < 4.05

Therefore the solution to the inequality is (-∞, 4.05)

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