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Write an inequality for the given statement: Two-thirds of a number, decreased by 4, is less than 6.

Sagot :

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[tex] \frac{2}{3} [/tex]x-4<6

To get [tex] \frac{2}{3} [/tex] of a number you have to multiply the number by [tex] \frac{2}{3} [/tex], which gives you [tex] \frac{2}{3} [/tex]x then you subtract that by 4. The inquality faces the 6 because it is greater than [tex] \frac{2}{3} [/tex]x-4 based on the statement above. The inquality always faces the greatest number. 

Answer:

[tex]\frac{2}{3} x[/tex]  < is the answer.

Step-by-step explanation:

Let number be x

two third of x = [tex]\frac{2}{3} x[/tex]

two third of x decreased by 4 =  [tex]\frac{2}{3} x[/tex] -4

which is less than 6 therefore mathematically it equals

[tex]\frac{2}{3} x[/tex]  -4< 6

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