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jolli1 [7]
2 years ago
5

-6x + 8 ≥ -58 +5x Please solve

Mathematics
2 answers:
PolarNik [594]2 years ago
8 0

Hi student, let me help you out!

.....................................................................................................................................

Let's recall the process of solving inequalities.

Equations and inequalities are similar in many ways. One of them is: The overall goal is to get the variable we're solving for all by itself.

The process of solving an inequality is the same as solving an equation.

Here's what we should do to solve the given inequality:

  1. Subtract 5x from both sides.
  2. Subtract 8 from both sides.
  3. Solve for x.

Step 1: Subtract 5x from both sides: \mathrm{-6x-5x+8\geq -58}.

Upon simplifying, we obtain \mathrm{-11x+8\geq -58}.

Step 2: Subtract 8 from both sides: \mathrm{-11x\geq -58-8}.

Upon simplifying, we obtain \mathrm{-11x\geq -66}.

Step 3: Solve for x by dividing both sides by -11: \mathrm{-11x\div(-11)\geq -66\div(-11)}.

Upon simplifying, we obtain \bigstar\underline{\boxed{\mathrm{x\leq 6}}}.

Notice that the sign of the inequality changed from "greater than or equal to" to "less than or equal to".

Hope this helped you out, ask in comments if any queries arise.

\underline{\rule{300}{4}}

vagabundo [1.1K]2 years ago
6 0

Answer:  X ≤ 6

Step-by-step explanation:

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9. Triangle Construction pays Square Insurance $5,980
xxTIMURxx [149]

The triangle pay $32 more for that day than it paid per day during the first period of time.

Step-by-step explanation:

The given is,

              Triangle Construction pays Square Insurance $5,980

               To insure a construction site for 92 days

               To extend the  insurance beyond the 92 days costs $97 per day

               Triangle extends the insurance by 1 day

Step:1

              Insurance per day from the 92 days period,

                                                                           = \frac{Total insuratio for 92 days}{Period}

               Where, Total insurance for 92 days = $ 5,980

                                                               Period = 92 days

               From the values, equation becomes,

                                                                            =\frac{5980}{92}

                                                                           = $ 65 per day

Step:2

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                                                                           = $ 97

               Amount Pay for that day than it paid per day during the first period of time,

                                                                            =(97-65)

                                                                           = $32

Result:

             The triangle pay $32 more for that day than it paid per day during the first period of time, if  the Triangle Construction pays Square Insurance $5,980 to insure a construction site for 92 days and to extend the  insurance beyond the 92 days costs $97 per day.

                                                                         

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