Question

A number less 7 is greater than -45. How can the solutions for this inequality be described? Is -40 a solution?
A) All numbers less than -38.; yes
B) All numbers greater than -38.; no
C) All numbers less than or equal to -38.; yes
D) All numbers greater than or equal to -38.; no

Answer 1

Answer:

Step-by-step explanation:

as the no. is less than 7 and greater than -45, so, all no. in the range (-45,7) are its solutions

Answer 2

All the number greater than -38 ; no, -40 is not the solution of inequality.

Step-by-step explanation:

Let the number be x.

a number less 7 = x - 7 _given

According to given condition,

x - 7 > -45

by adding 7 to both side

x - 7 + 7  >  -45 + 7

x > -38

As statement shows the solution is greater than -38.

And -40 is smaller than -38, therefore it is not the solution.

∴ Option B is correct.