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Zepler [3.9K]
3 years ago
8

-5x+2<12 please someone help

Mathematics
2 answers:
inn [45]3 years ago
8 0

Answer:

  • \boxed{\sf{x > -2}}

Step-by-step explanation:

Put the term x on one side of the equation.

<h3>-5x+2<12</h3>

<u>Subtract by 2 from both sides.</u>

\Longrightarrow: \sf{-5x+2-2 < 12-2}

<u>Solve.</u>

<u />

<u>Subtract the numbers from left to right.</u>

⇒ 12-2=10

⇒ -5x<10

<u>Multiply by -1 from both sides.</u>

⇒ (-5x)(-1)>10(-1)

<u>Solve.</u>

<u>Multiply the numbers from left to right.</u>

-5x*-1=5x

10*-1=-10

→ 5x>-10

<u>Divide by 5 from both sides.</u>

→ 5x/5>-10/5

<u>Solve.</u>

<u>Divide the numbers from left to right.</u>

-10/5=-2

\Longrightarrow: \boxed{\sf{x > -2}}

  • <u>Therefore, the correct answer is x>-2.</u>

I hope this helps you! Let me know if my answer is wrong or not.

aksik [14]3 years ago
4 0

Answer:

x > -2

Step-by-step explanation:

Given the following question:

-5x+2 < 12

To find this answer we subtract two on both sides then isolate the variable by dividing 5 on both sides.

-5x+2 < 12
2-2=0
12-2=0
-5x < 10
-5x\div-5=x
10\div-5=-2
x > -2

Which means your answer is "x > -2."

Hope this helps.

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Jorge solves the equation 4 x minus (x + 2) + 6 = 2 (3 x + 8) using the steps below. Step 1: 4 x minus x + 2 + 6 = 6 x + 16 Step
telo118 [61]

Answer:

The solution of the given equation is x = -4

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given expression 4 x - (x +2) +6 = 2 (3 x+8)

<u><em>Step(i)</em></u>:-

4 x - (x +2) +6 = 2 (3 x+8)

4 x - x -2 + 6 = 6 x + 16

<u><em>step(ii)</em></u>:-

    3 x + 4  = 6 x + 16

subtracting '4' on both sides , we get

   3 x + 4 - 4 = 6 x + 16 - 4

   3 x = 6 x + 12

<u><em>Step(iii)</em></u>:-

Subtracting '6x' on both sides , we get

3 x - 6 x = 6 x - 6 x + 12

  - 3 x = 12

<u><em>Step(iv):</em></u>-

Dividing '-3' on both sides , we get

        \frac{-3x}{-3} = \frac{12}{-3}

        x  = - 4

<u><em>Final answer:-</em></u>

The solution of the given equation is x = -4

<u><em>Verification</em></u>:-

4 x - (x +2) +6 = 2 (3 x+8)

put x = -4

4 ( -4) - ( - 4 +2) +6 = 2 (3(-4)+8)

-16+2+6 = 2 (-12+8)

-8 = -8

Both are equal  

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Step-by-step explanation:

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Step-by-step explanation:

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