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Which of the following are solutions to the inequality -7x+14>-3x-6

User Mattalxndr
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Final answer:

To solve the inequality -7x + 14 > -3x - 6, eliminate terms to simplify and then isolate the variable. Ultimately, the solution is 'x < 5', meaning all values of x that are less than 5 satisfy the inequality.

Step-by-step explanation:

The given inequality is -7x + 14 > -3x - 6. To solve it, you would first eliminate terms on both sides to simplify the algebra. This involves moving all the x terms to one side and the constant terms to the other side.

To do this, add 3x to both sides:

-7x + 14 + 3x > -3x - 6 + 3x

-4x + 14 > -6

Next, subtract 14 from both sides:

-4x + 14 - 14 > -6 - 14

-4x > -20

Now, divide both sides by -4. Remember, dividing by a negative number will reverse the inequality sign:

x < 5

The solutions to the inequality are all the values of x that are less than 5. Check the answer by plugging in a number less than 5 for x and confirming that the inequality holds true.

User Ali Khaki
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