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!!
Question
Answer:
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
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9 months ago
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