How do you solve #abs(5.2x+7)=3.8#?
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To solve the equation abs(5.2x + 7) = 3.8, you set up two equations by considering the positive and negative cases of the absolute value:
 5.2x + 7 = 3.8
 (5.2x + 7) = 3.8
Then, solve each equation separately for x:

For the first equation: 5.2x + 7 = 3.8 Subtract 7 from both sides: 5.2x = 3.8  7 5.2x = 3.2 Divide both sides by 5.2: x = 3.2 / 5.2 x ≈ 0.615

For the second equation: (5.2x + 7) = 3.8 Distribute the negative sign: 5.2x  7 = 3.8 Add 7 to both sides: 5.2x = 3.8 + 7 5.2x = 10.8 Divide both sides by 5.2: x = 10.8 / 5.2 x ≈ 2.077
So, the solutions to the equation are approximately x ≈ 0.615 and x ≈ 2.077.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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