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We are asked to find the solution to the inequality:
[tex]\star~\large\pmb{\cfrac{x}{9}+3 < 4}[/tex]
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
- First, subtract 3 from both sides, then multiply both sides by the denominator.
Step 1.
[tex]\star~\large\pmb{\cfrac{x}{9} < 4-3}[/tex]
[tex]\star~\large\pmb{\cfrac{x}{9} < 1}[/tex]
Step 2.
[tex]\star~\large\pmb{\cfrac{x}{9}\times9 < 1\times9}[/tex]
Notice that on the left, the 9s cancel, and we're left with x.
Step 3.
[tex]\star~\large\pmb{x < 9}[/tex]
This is the solution.
Hope it helps you out! :D
Ask in comments if any queries arise.
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Answer:
x < 9
Step-by-step explanation:
Given:
[tex]\dfrac{x}{9} + 3 < 4[/tex]
1. Subtract 3 from both sides of the inequality
[tex]\dfrac{x}{9} + 3 - 3 < 4 - 3\\\\\implies\dfrac{x}{9} < 1[/tex]
2. Multiply both sides of the inequality by 9
[tex]9\left(\dfrac{x}{9}\right) < 1(9)\\\\\implies x < 9[/tex]
Learn more about finding the solution of an inequality:
brainly.com/question/27834517
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