What is the greatest integer that satisfies the inequality 3x-4≤8 ?

2 answers:

7 0

To figure this out, we need to solve for the inequality. A quick way is to plug in an answer choice for x.
For example, answer choice "A.)";
3(4) -4 <_ 8
We plugged in 4 for x.
Let's see if A.) is correct.
3(4) -4 <_ 8
12 - 4 <_ 8
8 <_ 8

This is the GREATEST possible integer, as the question asks for what the highest possible number would match the inequality.

Your correct answer choice is "A.)"

I hope this helps!

Masteriza [31]3 years ago

3 0

3x - 4 ≤ 8
3x ≤ 12
x ≤ 4

answer

A.4

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We will be using simultaneous equations to solve this problem. Let's first establish the two equations which we will be using.

Equation No. 1 -

- 6x - 14y = - 20

Equation No. 2 -

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First, we will make ( x ) the subject in the first equation and simplify accordingly.

Equation No. 1 -

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- 6x = - 20 + 14y

x = ( - 20 + 14y ) / - 6

x = ( - 10 + 7y ) / - 3

From this, we will make ( y ) the subject in the second equation and substitute the value of ( x ) from the first equation into the second equation to solve for ( y ) accordingly.

Equation No. 2 -

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x = [ - 10 + 0 ] / - 3

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