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3 years ago

What is the solution to the inequality |x-4|< 3? –7 < x < –1 1 < x < 7 x < –7 or x < –1 x > 1 or x <

Mathematics

1 answer:

balandron [24]3 years ago

5 0

$|x-4| < 3\iff x-4 < 3\ \wedge\ x-4 > -3\ \ \ \ |+4\\\\x < 7\ \wedge\ x > 1\\\\Answer:\ \boxed{1 < x < 7}$

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Darina [25.2K]

Answer:

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Step-by-step explanation:

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3 years ago

Please help me 33/2 + 3y/5 = 7y/10 + 15

8090 [49]

We are given with an equation in variable y and we need to solve for y . So , now let's start !!!

We are given with ;

${:\implies \quad \sf \dfrac{33}{2}+\dfrac{3y}{5}=\dfrac{7y}{10}+15}$

Take LCM on both sides :

${:\implies \quad \sf \dfrac{165+6y}{10}=\dfrac{7y+150}{10}}$

Multiplying both sides by 10 ;

${:\implies \quad \sf \cancel{10}\times \dfrac{165+6y}{\cancel{10}}=\cancel{10}\times \dfrac{7y+150}{\cancel{10}}}$

${:\implies \quad \sf 165+6y=7y+150}$

Can be further written as ;

${:\implies \quad \sf 7y+150=165+6y}$

Transposing 6y to LHS and 150 to RHS

${:\implies \quad \sf 7y-6y=165-150}$

${:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}$

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2 years ago

What the factor os 12

Mariana [72]

Answer:

Factors of 12 =1, 2, 3, 4, 6, 12

Step-by-step explanation:

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3 years ago