Solving a Linear Inequality with Distribution Which represents the solution set to the inequality
-1.5(4x + 1) > 4.5 -2.5(x + 1)?
Solve the inequality
X-1
oxz 16
-1.5(4x+1) 245-25(x+1)
1 For parentheses
Distribute
(-0, -1]
2 If necessary
Combine Terms
(-0,7)
16
3. Apply properties
Add Subtract
Multiply
Divide
4 To start over
Reset

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step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

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