Question

Help please! (7th grade math)

Lily and Lena both solve the inequality below:
-0.5x -5 < -1.5

Lily says that -10 is a possible solution to this inequality.
Lena says that -5 is a possible solution to this inequality.

Who is correct? Explain.

Answer 1

Solution :-

- 0.5 x - 5 < - 1.5

=> -0.5x < 3.5

[ multiplying inequality by ( - ) -ve sign changes the inequality ]

=> 0.5x > - 3.5

=> x > -7

Hence , -5 is the possible solution for the inequality because x is greater than -7 !

So , Lena is correct !!