Solve x/13<4/5 .(1 point)Responsesx>52/5x greater than Start Fraction 52 over 5 End Fraction x<4/65x less than Start Fraction 4 over 65 End Fraction x<13 4/5x less than 13 Start Fraction 4 over 5 End Fractionx<10 2/5
To solve the inequality x/13 < 4/5, we can multiply both sides of the inequality by 13 to eliminate the fraction. However, we need to be careful when multiplying by a negative number.
If x/13 is positive, then multiplying both sides by 13 does not change the inequality sign:
x/13 < 4/5
13(x/13) < 13(4/5)
x < (52/5)
However, if x/13 is negative, we need to reverse the inequality sign:
x/13 < 4/5
13(x/13) > 13(4/5)
x > (52/5)
Combining both cases, we have:
x > 52/5
So the correct response is: x > 52/5.