Mathematics, 05.07.2019 10:00 pacerskora

What is the justification for each step solving the inequality? 2x+1< _3(x+1)/2 4x+2< _3(x+1) 4x+2< _3x+3 x+2< _3 x< _1 multiplication or division, property of order distributive property addition and subtraction property of order.

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Answer from: floresjacqueline

$2x+1\leq\dfrac{3(x+1)}{2}$

Multiplication property of equality (multiply both sides by 2)

$2(2x)+2(1)\leq\not2^1\cdot\dfrac{3(x+1)}{\not2_1}\\\\4x+2\leq3(x+1)$

Distributive property

$4x+2\leq(3)(x)+(3)(1)\\\\4x+2\leq3x+3$

Subtraction property of equality (subtract 3x from both sides)

$4x-3x+2\leq3x-3x+3\\\\x+2\leq3$

Subtraction property of equality (subtract 2 from both sides)

$x+2-2\leq3-2\\\\x\leq1$

Answer from: pastmarion

2x+1 <= 3(x+1)/2

4x+2 <= 3(x+1) >Multiplication or Division property of order

4x+2 <= 3x+3 >Distributive property

x+2 <= 3 >Addition and subtraction property of order.

x<= 1 >Addition and subtraction property of order.

Answer from: Quest

The domain is 100 becuase i said so ok. jk its 00 jk again its r jk again and again its 75jk im always kiffing okaydbdbekufir83gc84vrudnmm as 8ehehenenrn vr 0eh339520252026ee6ee8e9

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

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What is the justification for each step solving the inequality? 2x+1< _3(x+1)/2 4x+2< _3(x+1)...

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