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How do you solve the inequality #4(7-3x)<= -20#?

Answer 1

Eva Abramson

#x>=4#

#4(7-3x)<= -20#

distributive property:

#28-12x<= -20#

#-12x<= -48#

#x>=4#

remember you need to flip the inequality when you divide by a negative number.

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Answer 2

Genesis Allen

To solve the inequality ( 4(7 - 3x) \leq -20 ), follow these steps:

Distribute the 4 to both terms inside the parentheses: [ 28 - 12x \leq -20 ]
Add 12x to both sides of the inequality to isolate the variable term: [ 28 \leq 12x - 20 ]
Add 20 to both sides of the inequality to isolate the variable term: [ 48 \leq 12x ]
Divide both sides of the inequality by 12 to solve for x: [ 4 \leq x ]

So, the solution to the inequality is ( x \geq 4 ).

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Answer from HIX Tutor

When evaluating a one-sided 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.

How do you solve the inequality #4(7-3x)&lt;= -20#?

How do you solve the inequality #4(7-3x)<= -20#?