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Mathematics
Anne Smith
10 January, 01:30
Solve: 2|x - 3| - 4 ≥ 10
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Abram Kramer
10 January, 02:58
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2 (|x-3|) - 4≥10
Step 1: Add 4 to both sides. 2 (| x-3 |) - 4 + 4 ≥ 10+4 2 (| x-3 |) ≥14 Step 2: Divide both sides by 2. 2 (| x-3 |) 2 ≥ 142 | x-3 | ≥7 Step 3: Solve Absolute Value. | x-3 | ≥7 We know either x-3 ≥7 or x-3 ≤ - 7 x-3 ≥7 (Possibility 1) x-3 + 3 ≥ 7+3 (Add 3 to both sides) x≥10 x-3 ≤ - 7 (Possibility 2) x-3 + 3 ≤ - 7 + 3 (Add 3 to both sides) x≤ - 4
the answer is
x≥ 10 or x ≤-4
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Ronnie Sullivan
10 January, 03:17
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Hi TeddyBR
Add 4 to both sides
add 10 + 4 to 14
divide both sides by 2
divide 14/2 to 7
break down the problems into these two equations
x - 3 ≥ 7
- (x - 3) ≥ 7
Lets first solve the first equation which is x - 3 ≥ 7 and that would be x ≥ 10 and lets solve the other one which is - (x - 3) ≥ 7 and that would be x ≤ - 4
Gather both solutions
Answers: x ≥ 10 and x ≤ - 4.
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