Question

1. The sum of x and -45 is at most 35

2. The difference of x and -45 is at least 35

WRITE and solve inequality please, thanks!!

Answer 1

The given set of equation are: x+ (-45) ≤ 35 , x - (-45) ≥ 35

For the given equality to be true, x ≤ 35

Explanation:

Here, given the first number = x

Second number = -45

Now, Sum of x and - 45 is at most 35.

⇒ x+ (-45) ≤ 35

Also, 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 get

x - 45 = 35

x + 45 = 35

Adding both equations,we get: ⇒ 2x = 70

or x = 35

Hence for the given equality to be true, x ≤ 35