How do you solve #2/8x-13> -6#?

Answer 1

#x > 28#

Note: I added a variable #x# to the given inequality so this question was meaningful.

Remember: you can add or subtract any amount to both sides of an inequality and multiply or divide both sides by any positive amount without changing the validity or direction of the inequality.

Given #color(white)("XXX")2/8x-13 > -6#
Adding both #13# to both sides: #color(white)("XXX")2/8x > 7#
Multiplying both sides by #8# #color(white)("XXX")2x > 56#
Dividing both sides by #2# #color(white)("XXX")x > 28#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To solve the inequality 2/8x - 13 > -6, you would first isolate the variable x by performing the necessary operations to move constants and simplify the expression. Then, you would determine the values of x that satisfy the inequality.

Here are the steps:

  1. Add 13 to both sides of the inequality: 2/8x > -6 + 13.
  2. Simplify: 2/8x > 7.
  3. Multiply both sides of the inequality by 8 to eliminate the fraction: 8 * (2/8x) > 7 * 8.
  4. Simplify: 2x > 56.
  5. Divide both sides of the inequality by 2: (2x)/2 > 56/2.
  6. Simplify: x > 28.

So, the solution to the inequality is x > 28.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 3

To solve the inequality ( \frac{2}{8}x - 13 > -6 ), follow these steps:

  1. Add 13 to both sides: ( \frac{2}{8}x > -6 + 13 ).
  2. Simplify: ( \frac{2}{8}x > 7 ).
  3. Multiply both sides by 8 to eliminate the fraction: ( 2x > 7 \times 8 ).
  4. Simplify: ( 2x > 56 ).
  5. Divide both sides by 2: ( x > \frac{56}{2} ).
  6. Simplify: ( x > 28 ).

So, the solution to the inequality is ( x > 28 ).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
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.

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.

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.

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.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7