How can I solve this inequality
[From: ] [author: ] [Date: 12-02-22] [Hit: ]
x≤1.8, 0.63. 1/74. (x+9)/7--6x + 6 1 ½ 0.......
-5x≥-3 Divide by negative 5
0.6≥x
x≤1.8, 0.6
3. Use y1-y2/x1-x2 Plug in
2-1/5--2 Simplify
1/7 Answer
4. too lazy to explain so see below
OFFICIAL ANSWERS
1. x>-2.5
2. x≤1.8, 0.6
3. 1/7
4. (x+9)/7
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-6x + 6 < -4x + 5
1 < 2x
½ < x ∙ ∙ ∙ ∙ ∙ so x > 0.5 is right
|5x – 6| + 4 ≥ 7 ∙ ∙ ∙ ∙ ∙ split into 2 cases
5x – 6 + 4 ≥ 7
5x ≥ 9
x ≥ 1.8 ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ or else
-(5x – 6) + 4 ≥ 7
-(5x – 6) ≥ 3
5x – 6 ≤ -3
5x ≤ 3
x ≤ 0.6
change in y, 2 → 1, is -1
change in x, 5 → -2, is -7 ∙ ∙ ∙ ∙ so slope is -1/-7 = 1/7
using (5,2),
y – 2 = (1/7)(x – 5)
y = (1/7)x – 5/7 + 14/7
y = (1/7)x + 9/7
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-6x + 6 < -4x + 5
1 < 2x
1/2 < x or x > 1/2 so you are right on that one
|5x - 6| + 4 ≥ 7
|5x - 6| ≥ 3
5x - 6 ≤ -3 or 5x - 6 ≥ 3
5x ≤ 3 or 5x ≥ 9
x ≤ 3/5 or x ≥ 9/5
ok im too lazy to do last one, sorry
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pick the first guys answer as the best answer he has it completely correct and has exactly what i was going to write, but i'm only level one so i cant like his comment :(
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I solved it and got all of Sam.Fred's answers so i would say that they are right.
