Q:

1. The sum of x and -45 is at most 352. The difference of x and -45 is at least 35WRITE and solve inequality please, thanks!!

Accepted Solution

A:
Answer:The given set of equation are:   x+ (-45) ≤  35  ,  x - (-45) ≥  35 For the given equality to be true, x  ≤ 35Step-by-step explanation:Here, given the first number = xSecond number  = -45Now, Sum of x  and - 45 is at most 35.⇒ x+ (-45) ≤  35Also,  The difference of x and -45 is at least 35.⇒ x - (-45) ≥  35 Now, simplifying the given set of equations:x  - 45  ≤  35  ⇒    -x - (-45) >   - 35   ( as 3  <  4  ⇒ -3  > -4)or, -x  + 45  >  - 35 and second equation is x  + 45 ≥  35 Now, solving both the equations by not taking sign of inequality in to the consideration, we getx - 45  = 35x + 45 = 35  Adding both equations,we get:   ⇒ 2x = 70                                                           or x = 35Hence for the given equality to be true, x  ≤ 35