Write an equation for the following scenario and explain what
2 answers:
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The correct representation of the inequality is -6x + 15 < 10 - 5x and an open circle is at 5 and a bold line starts at 5 and is pointing to the right.
<h3>What is inequality?</h3>In mathematical concept, an inequality is a representation of an order linking two numbers or algebraic expressions together. These orders are called inequality signs such as greater than (>), less than (<), greater than or equal to(≥), or less than or equal to(≤). Either questions or theorems can be used to express inequality problems, and both can be solved using methods similar to those used to solve equations.
From the given information, we are given the inequality:
= -3(2x - 5) < 5(2 -x)
Open brackets, we get:
= -6x + 15 < 10 - 5x
Subtract 15 from both sides, we have:
= -6x + 15 - 15 < 10 - 5x - 15
= -6x < -5x - 5
Add 5 to both sides
= -6x + 5 < -5x - 5 + 5
= -6x + 5 < -5x
= -x < - 5
= x < 5
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