|4r + 8| ≥ 32
4r + 8 ≥ 32 or 4r + 8 ≤ -32 <em> inside of absolute value could be + or -</em>
4r ≥ 24 or 4r ≤ -40 <em>subtracted 8 from both sides</em>
r ≥ 6 or r ≤ -10 <em>divided both sides by 4</em>
Graph: ←---------------- -10 6 ------------------→
Interval Notation: (-∞, -10] U [6, ∞)
Answer:
To factor an integer, we need to divide it by the ascending sequence of primes 2, 3, 5
In the end, the number of times each prime divides the original integer becomes its exponent.
Prime number 2 to the power of 2 equals 4 .
Prime number 3 to the power of 1 equals 3 .
Result:-
<u> OAmalOHopeO</u>
Answer:
-2 is the slope
Step-by-step explanation:
Answer: The number is: "2 " .
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Explanation:
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Write the expression; which is an equation, as follows:
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" 4x <span>− 12 = 2(-x) " ; in which "x" represents "the number for which we shall solve" .
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Note:
If the "number" = "x" ; the "opposite of the number" = " -x " ;
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Rewrite as: " 4x <span>− 12 = -2x " ;
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→ Add "12" ; & add "2x" ; to EACH SIDE of the equation:
4x − 12 + 12 + 2x = -2x + 12 + 2x ;
to get: 6x = 12 ;
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Now, divide each side of the equation by "6" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
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6x / 6 = 12 / 6 ;
to get: x = 2 .
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Answer: The number is: "2 " .
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Let us check our answer, by plugging in "2" for "x" in our original equation:
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→ " 4x − 12 = 2(-x) " ;
Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;
→ " 4(2) − 12 = ? 2(-2) ??
→ 8 − 12 = ? -4 ? ;
→ -4 = ? -4 ?? Yes!
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The answer to 1 4/5 x 2 1/3 would be 4 1/5. Which is greater than 2 1/3.