3 years ago

3/4(x+8)>1/2(2x+10)

Mathematics

1 answer:

JulijaS [17]3 years ago

8 0

Answer:

x < 4

Step-by-step explanation:

3/4(x+8)>1/2(2x+10) (multiply both sides by 4)

(4)(3/4)(x+8)>(4)(1/2)(2x+10)

3(x+8)>2 (2x+10) (expand parentheses by distribution property)

x(3)+8(3)>(2x)(2)+10(2)

3x+24>4x+20 (subtract 3x from both sides)

3x+24 - 3x > 4x+20- 3x

24 > x+20 (subtract 20 from both sides)

24 - 20 > x + 20 - 20

4 > x (rearrange)

x < 4

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3/4(x+8)>1/2(2x+10)​

3/4(x+8)>1/2(2x+10)