Write an inequality for the given statement: Two-thirds of a number, decreased by 4, is less than 6.
\(\frac{2}{3}\)x-4<6
To get \(\frac{2}{3}\) of a number you have to multiply the number by \(\frac{2}{3}\), which gives you \(\frac{2}{3}\)x then you subtract that by 4. The inquality faces the 6 because it is greater than \(\frac{2}{3}\)x-4 based on the statement above. The inquality always faces the greatest number.
Answer:
\(\frac{2}{3} x\) < is the answer.
Step-by-step explanation:
Let number be x
two third of x = \(\frac{2}{3} x\)
two third of x decreased by 4 = \(\frac{2}{3} x\) -4
which is less than 6 therefore mathematically it equals
\(\frac{2}{3} x\) -4< 6