Which inequality is true?

a number line going from negative 1 to 1.
one-half less-than one-third
three-fourths greater-than two-thirds
negative one-fourth less-than negative two-thirds
negative 1 greater-than three-fourths

Option C: Three-fourths greater-than two-thirds

Solution:

Option A: A number line going from negative 1 to 1.

Explanation: A number line is used to define a point in a given interval. And hence, a number line does not goes from negative 1 to 1.

Thus, this statement is false.

Option B: One-half less-than one-third

Explanation: The statement can be written as

which is not possible.

Hence, this inequality is false.

Option C: Three-fourths greater-than two-thirds

Explanation: The statement can be written as

which is true.

Hence, this inequality is true.

Option D: Negative one-fourth less-than negative two-thirds

Explanation: The statement can be written as

This is not possible.

Hence, this inequality is false.

Option E: Negative 1 greater-than three-fourths

Explanation: The statement can be written as

This is not possible.

Hence, this inequality is false.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

answer: c

(2, -4)

goes 7 to the

(9, 4)

easy