I Know It's A Long Math Question: But I Am Having Trouble With Figuring this out. I Need Someone that can figure this out! Short Answers Or Long Answers Will Do Fine.
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-4n + 6 ≤ n + 13
-5n ≤ 7
n ≥ -7/5
-5n ≤ 7
n ≥ -7/5
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Let n be the number & lets take this question apart.
-Negative 4 times a number (n) ....-4n.....plus 6 results to, -4n+6
-Then it says, no more than the number (n)+13....meaning that -4n+6 is equal to or less than (≤) n+13. OR -4n+6 ≤ n+13.
-Now subtract n on both sides to get -5n+6 ≤ 13, subtract 6 on both sides to get -5n ≤ 7.
-And finally when you divide a negative number in these type of equations you flip the middle symbol so after dividing NEGATIVE 5 on both sides you get n to equal.....n ≥ 7/-5
-Negative 4 times a number (n) ....-4n.....plus 6 results to, -4n+6
-Then it says, no more than the number (n)+13....meaning that -4n+6 is equal to or less than (≤) n+13. OR -4n+6 ≤ n+13.
-Now subtract n on both sides to get -5n+6 ≤ 13, subtract 6 on both sides to get -5n ≤ 7.
-And finally when you divide a negative number in these type of equations you flip the middle symbol so after dividing NEGATIVE 5 on both sides you get n to equal.....n ≥ 7/-5
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-4x + 6 (< = ) x +13
-5x ( < = ) 7
x ( < = ) -7/5
( < = ) - less than / equal to.
so x is less than or equal to -7/5
-5x ( < = ) 7
x ( < = ) -7/5
( < = ) - less than / equal to.
so x is less than or equal to -7/5
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Let x be the unknown number
-4x +6 <= x +1 3 /// 'no more than' means ' < ='
-4x -x <= 13 -6
-5x <= 7
x >= -7/5
-4x +6 <= x +1 3 /// 'no more than' means ' < ='
-4x -x <= 13 -6
-5x <= 7
x >= -7/5
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n ≤ -7/5