QuestionSolve the inequality $5(4-u)+5u<16$ . What are the possible values for $u$ ?

Studdy Solution

STEP 1

Assumptions1. The inequality is $5(4-u)+5u<16$ . We want to solve for $u$

STEP 2

First, distribute the $5$ to both terms inside the parentheses.
$5(4-u)+5u =20-5u+5u$

STEP 3

implify the equation by combining like terms.
$20-5u+5u =20$

STEP 4

Now, substitute the simplified expression back into the inequality.
$20 <16$

STEP 5

This inequality is false because $20$ is not less than $16$ . Therefore, there are no values of $u$ that will satisfy the inequality.
No solution

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QuestionSolve the inequality $5(4-u)+5u<16$ . What are the possible values for $u$ ?

Studdy Solution

STEP 1

Assumptions1. The inequality is $5(4-u)+5u<16$ . We want to solve for $u$

STEP 2

First, distribute the $5$ to both terms inside the parentheses.
$5(4-u)+5u =20-5u+5u$

STEP 3

implify the equation by combining like terms.
$20-5u+5u =20$

STEP 4

Now, substitute the simplified expression back into the inequality.
$20 <16$

STEP 5

This inequality is false because $20$ is not less than $16$ . Therefore, there are no values of $u$ that will satisfy the inequality.
No solution

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QuestionSolve the inequality 5(4−u)+5u<165(4-u)+5u<165(4−u)+5u<16. What are the possible values for uuu?

Studdy Solution

STEP 1

Assumptions1. The inequality is 5(4−u)+5u<165(4-u)+5u<165(4−u)+5u<16 . We want to solve for uuu

STEP 2

First, distribute the 555 to both terms inside the parentheses.5(4−u)+5u=20−5u+5u5(4-u)+5u =20-5u+5u5(4−u)+5u=20−5u+5u

STEP 3

implify the equation by combining like terms.20−5u+5u=2020-5u+5u =2020−5u+5u=20

STEP 4

Now, substitute the simplified expression back into the inequality.20<1620 <1620<16

STEP 5

This inequality is false because 202020 is not less than 161616. Therefore, there are no values of uuu that will satisfy the inequality.No solution

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QuestionSolve the inequality $5(4-u)+5u<16$ . What are the possible values for $u$ ?

Assumptions1. The inequality is $5(4-u)+5u<16$ . We want to solve for $u$

First, distribute the $5$ to both terms inside the parentheses.
$5(4-u)+5u =20-5u+5u$

implify the equation by combining like terms.
$20-5u+5u =20$

Now, substitute the simplified expression back into the inequality.
$20 <16$

This inequality is false because $20$ is not less than $16$ . Therefore, there are no values of $u$ that will satisfy the inequality.
No solution