# Difference between revisions of "2020 SWMC 6 Problems/Problem 1"

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− | + | ==Problem== | |

+ | Give the only positive value of <math>x</math> in <math>10x + 5 \leq 14 + x</math>. | ||

+ | |||

+ | ==Solution== | ||

+ | |||

+ | To figure out all possible values of <math>x</math>, we have to solve the inequality. | ||

+ | |||

+ | First, we have to make sure that only one side has the variable x. To do that, we subtract x from both sides so only the left side has x in it. We have | ||

+ | |||

+ | <cmath>9x+5\leq14.</cmath> | ||

+ | |||

+ | Subtracting 5 from both sides gets <math>9x\leq9</math>, so x1. Therefore the only positive value of <math>x</math> is <math>\boxed1</math>. |

## Revision as of 05:51, 20 October 2020

## Problem

Give the only positive value of in .

## Solution

To figure out all possible values of , we have to solve the inequality.

First, we have to make sure that only one side has the variable x. To do that, we subtract x from both sides so only the left side has x in it. We have

Subtracting 5 from both sides gets , so x1. Therefore the only positive value of is .