Using Pythagorean theorem
Help me please easy 30pts and brainiest!!!!
1 answer:
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Let's solve the first inequality at first. So,
−2(x + 4) + 10 < x − 7
-2x- 8 + 10 < x - 7 By distribution property.
-2x + 2 < x - 7 Adding the like terms.
-2x < x - 7 - 2 Subtract 2 from each sides.
-2x < x - 9 By simplifying.
-2x - x < -9 Subtract x from each sides.
-3x < -9
Since we are dividing by negative 3. So, sign of inequality will get change.
So, x>3
Now the next inequality is,
−2x + 9 > 3(x + 8)
-2x + 9 > 3x + 24
-2x > 3x + 24 - 9
-2x > 3x + 15
-2x - 3x > 15
-5x >15
So, x <-3
Hence, the correct choice is x > 3 or x < −3.
Answer:
look at the photo
Step-by-step explanation:
Since the inequality is already written in y=mx+b, you can easily graph the line. +3 is the y intercept, so one point would be (0,3). -2 resembles the slope, so diagonally to the left, you would go up 2 and across 1. Also, since the sign is "<" you would graph with a dotted line. Then to know which side to shade, I always use the coordinate (0,0). I plug in 0 for both x and y to see if (0,0) satisfies the inequality. In this case it does, so you would shade on the side where (0,0) is located.
