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2 years ago

9

Solve7w - 5 < 1 - 3wcan someone help me ?

2 answers:

Darina [25.2K]2 years ago

8 0

Answer:

w < 0.6

Step-by-step explanation:

In this problem, one is given an algebraic inequality. These types of inequalities can be solved using similar methods that one uses to solve an algebraic expression, in essence, one uses inverse operations. The only major difference between solving algebraic inequalities and algebraic expressions is that when one divides or multiplies by a negative number, one must remember to flip in the inequality sign to maintain the trueness of the equation. In this case, such a rule will not come into play.

7w - 5 < 1 - 3w

Inverse operations,

7w - 5 < 1 - 3w

+3w +3w

10w - 5 < 1

+5 +5

10w < 6

/10 /10

w < 0.6

lorasvet [3.4K]2 years ago

4 0

Answer:

0.6

Step-by-step explanation:

7w - 5 < 1 - 3w

get "w" all on one

7w + 3w - 5 < 1

7w + 3w < 1 + 5

10w < 6

w < 6/10

w < 0.6

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Answer:

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$4^{x-5}=6$ gives the solution $x=\frac{\log(6)}{\log(4)}+5$ .

Step-by-step explanation:

I will solve both interpretations.

If we assume the equation is $4^{x}-5=6$ , then the following is the process:

$4^x-5=6$

Add 5 on both sides:

$4^x=6+5$

Simplify:

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Now using the change of base:

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Write an equivalent logarithm form:

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Add 5 on both sides:

$x=\log_4(6)+5$

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