Which number line represents the solution to the inequality2.4x – 3 < –12.6 ?Responses
Question
Which number line represents the solution to the inequality
2.4x – 3 < –12.6 ?
Responses
Solution
To solve the inequality 2.4x - 3 < -12.6, follow these steps:
Step 1: Add 3 to both sides of the inequality to isolate the term with x on one side. This gives you:
2.4x < -12.6 + 3 2.4x < -9.6
Step 2: Divide both sides of the inequality by 2.4 to solve for x:
x < -9.6 / 2.4 x < -4
So, the solution to the inequality is x < -4. On a number line, this would be represented by an open circle at -4 (since x is less than, but not equal to, -4) and an arrow pointing to the left (since x is less than -4).
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