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Chapter 4: Q. 1 (page 241)

Solve the inequality 3-4x>5. Graph the solution set.

Short Answer

Expert verified

The solution set of 3-4x>5is (-鈭�,-12)and its graph is

Step by step solution

01

Step 1. Using mathematical operations to solve the inequality 3-4x>5. 

Add 4x to both sides.

3>5+4x

Subtract 5 from both sides.

-2>4x

Divide the inequality by 2.

-12>xx<-12

So the solution set of given inequality is(-鈭�,-12).

02

Step 2. The graph of solution set of inequality 3-4x>5 is as follows.

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Most popular questions from this chapter

If a rational function is proper, then______ is a horizontal

asymptote.

In Problems 25鈥�30, use the graph shown to find

(a) The domain and range of each function

(b) The intercepts, if any

(c) Horizontal asymptote, if one exists

(d) Vertical asymptotes, if any

(e) Oblique asymptote, if one exists

In Problems 65鈥�68, construct a polynomial function that might have the given graph. (More than one answer may be possible.)

Solve each inequality algebraically.

(x-1)(x+1)x鈮�0

From Ohm鈥檚 law for circuits,

it follows that the total resistance Rtotof two components connected in parallel is given by the equation

Rtot=R1R2R1+R2

where R1,R2are individual resistance.

(a) Let R1=10惟{"x":[[4,4,5,16,24,28,21,4,4,5,33],[44,51,52,52],[66,92],[66,93],[107,107,107,107,108,108,109,111,112,114,114,114,115,115],[129,126,126,126,126,127,129,129,129,138,142,146,149,152,154,159,162,165,173,171,168,163,158,155,147,143,139,138,137,136,136,136,135,135,134,133,132,132,132,130],[196,197,199,203,208,210,215,217,218,219,219,219,220,219,218,216,207,206,206,208,210,213,216,222,229,237,241,243,244,247,248,249,249,249,249,249,249,249,249,248,248,248,255,258,264,267,271,272,273]],"y":[[116,9,9,13,24,38,55,61,61,61,116],[101,90,91,142],[74,74],[93,93],[47.25390625,46.25390625,48.25390625,49.25390625,61.25390625,65.25390625,88.25390625,104.25390625,118.25390625,127.25390625,128.25390625,129.25390625,129.25390625,130.25390625],[58.25390625,64.25390625,66.25390625,70.25390625,73.25390625,80.25390625,87.25390625,88.25390625,89.25390625,103.25390625,106.25390625,109.25390625,109.25390625,109.25390625,108.25390625,103.25390625,99.25390625,97.25390625,68.25390625,64.25390625,61.25390625,58.25390625,56.25390625,55.25390625,55.25390625,55.25390625,54.25390625,54.25390625,53.25390625,53.25390625,54.25390625,55.25390625,56.25390625,58.25390625,59.25390625,62.25390625,64.25390625,65.25390625,65.25390625,72.25390625],[104.25390625,104.25390625,104.25390625,103.25390625,103.25390625,102.25390625,100.25390625,99.25390625,99.25390625,98.25390625,97.25390625,96.25390625,93.25390625,88.25390625,85.25390625,82.25390625,65.25390625,61.25390625,57.25390625,52.25390625,49.25390625,47.25390625,46.25390625,44.25390625,43.25390625,43.25390625,43.25390625,44.25390625,45.25390625,49.25390625,55.25390625,58.25390625,65.25390625,71.25390625,77.25390625,82.25390625,87.25390625,91.25390625,91.25390625,92.25390625,94.25390625,94.25390625,97.25390625,97.25390625,95.25390625,94.25390625,94.25390625,93.25390625,93.25390625]],"t":[[0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0],[0,0],[0,0],[1646205525060,1646205525075,1646205525094,1646205525110,1646205525126,1646205525144,1646205525160,1646205525176,1646205525193,1646205525210,1646205525225,1646205525243,1646205525259,1646205525268],[1646205525656,1646205525666,1646205525670,1646205525684,1646205525693,1646205525708,1646205525726,1646205525744,1646205525760,1646205525777,1646205525792,1646205525808,1646205525825,1646205525842,1646205525858,1646205525875,1646205525892,1646205525908,1646205526025,1646205526042,1646205526058,1646205526075,1646205526092,1646205526108,1646205526125,1646205526142,1646205526158,1646205526175,1646205526208,1646205526226,1646205526300,1646205526310,1646205526324,1646205526342,1646205526358,1646205526375,1646205526391,1646205526408,1646205526466,1646205526488],[1646205527135,1646205527170,1646205527191,1646205527207,1646205527224,1646205527240,1646205527257,1646205527273,1646205527290,1646205527307,1646205527323,1646205527340,1646205527357,1646205527373,1646205527390,1646205527406,1646205527490,1646205527507,1646205527524,1646205527540,1646205527557,1646205527574,1646205527590,1646205527606,1646205527623,1646205527640,1646205527656,1646205527673,1646205527690,1646205527707,1646205527724,1646205527740,1646205527757,1646205527773,1646205527790,1646205527806,1646205527823,1646205527840,1646205527856,1646205527873,1646205527889,1646205527906,1646205528050,1646205528055,1646205528074,1646205528090,1646205528106,1646205528123,1646205528156]],"version":"2.0.0"}, and graph Rtotas a function of R2.

(b) Find and interpret any asymptotes of the graph obtained in part (a).

(c) If R2=2R1, what value of R1will yield an Rtotof

17 ohms?
See all solutions

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