Question

X/9+3<4 what is the solution to the ineqaulity

Answer 1

Hi student, let me help you out! :)

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We are asked to find the solution to the inequality:

$\star~\large\pmb{\cfrac{x}{9}+3 < 4}$

$\triangle~\fbox{\bf{KEY:}}$

• First, subtract 3 from both sides,  then multiply both sides by the denominator.

Step 1.

$\star~\large\pmb{\cfrac{x}{9} < 4-3}$

$\star~\large\pmb{\cfrac{x}{9} < 1}$

Step 2.

$\star~\large\pmb{\cfrac{x}{9}\times9 < 1\times9}$

Notice that on the left, the 9s cancel, and we're left with x.

Step 3.

$\star~\large\pmb{x < 9}$

This is the solution.

Hope it helps you out! :D

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Answer 2

Answer:

x < 9

Step-by-step explanation:

Given:  

$\dfrac{x}{9} + 3 < 4$

1. Subtract 3 from both sides of the inequality

$\dfrac{x}{9} + 3 - 3 < 4 - 3\\\\\implies\dfrac{x}{9} < 1$

2. Multiply both sides of the inequality by 9

$9\left(\dfrac{x}{9}\right) < 1(9)\\\\\implies x < 9$

Learn more about finding the solution of an inequality:

brainly.com/question/27834517