Question

7x+19 (less than or equal too) 12

Answer 1

x
`\leq` 17/7

Explanation:

7x + 19
`\leq` 12

Is the inequality you are trying to solve.

When solving an inequality, we solve it like a regular equation and do inverse operations by looking at the number and doing the opposite of whatever its operation is. Whatever happens on one side happens to the other. So you would first subtract 19 on both sides.

1. 7x + 19
`\leq` 12

-19 -19

7x
`\leq` -17

the reason we subtracted was because the opposite operation to addition is subtraction as the number 19 had had a plus sign behind it

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We would now divide as the operation opposite to multiplication is division and 7x is 7 times x

2. 7x
`\leq` -17

÷7 ÷7

x
`\leq`
`(17)/(7)` OR 2
`(3)/(7)`

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The answer is:

x
`\leq` 17/7

Hope this helped!