solve each problem by setting up and solving an appropriate inequality. Suppose that Lance has $5000 to invest. If he invests $3000 at 5% interest, at what rate must he invest the remaining $2000 so that the two investments yield more than $300 in yearly interest?

Q: 2) Solve each inequality algebraically. (x-3)(x+2) < 0 b. x-1

A:

Q: Solve the inequality x4 &gt; x algebraically,and graph the solution set.

A: Given the inequality x4 &gt; x  To solve the algebraically x4&gt;xx4-x&gt;0x(x3-1)&gt;0 The solution…

Q: solve each inequality algebraically.

A: Given, x+52x2-4≥0 To solve the above inequality.

Q: solve each problem by setting up and solving an appropriate inequality. Mona invests $1000 at 8%…

A: Given: Investment at rate of 8%  is $1,000. To find the investment at 6% so that total yearly…

Q: graph the solutions of each compound inequality. x + 1 &gt; 3 and x - 3 &lt; -5

A:

Q: Solve each inequality. Graph each solution : m-(3m-2) + 6&lt;7m-19

A: The given inequality is m-3m-2+6&lt;7m-19.

Q: Solve each inequality. Graph each solution. 10r2 + r &lt;= 2

A: Given: 10r2+r≤2 For finding solution of given inequality, first we simplify given inequality and…

Q: solve each inequality and graph its solution set on a number line. x(x + 2)(x - 4) ≤ 0

A: We can solve the inequality by adding or subtracting numbers from the inequality , multiply or…

Q: In Problem,solve each inequality

A:

Q: solve each inequality and graph its solution set on a number line. x(x + 3)(x - 3) ≤ 0

A: Consider the given inequality. x(x+3)(x-3)≤0 Write the equal sign to solve the equation.  x(x + 3)(x…

Q: solve each inequality and graph its solution set on a number line. (2x - 1)(3x + 7) ≥ 0

A: Solution: Consider the given inequality is: 2x-13x+7≥0 we have  If x.y ≥0 ⇒ x ≥0 and y≥0 Therefore…

Q: In Problem,solve each inequality

A:

Q: Find the equations of inequality that has the following graph as the solution. 8) a) b)

A: This is a problem of LP, graphical representation and inequality.

Q: Solve each inequality: (а) Зх - 7 s 8-2х 3X (b) x - x - 6 >0 (

A:

Q: A. Solve, graph, and express the solution set of each inequality in interval form. 1. y-1> 2

A: "Since you have asked for multiple questions we will solve the first question for you. If you want…

Q: Andrew has $20 saved and is working for $8 an hour. How many hours does he have to work to save a…

A: Given Andrew has $20 saved and is working for $8 an hour.

Q: solve each inequality algebraically.

A: Given 6x-5&lt;6x

Q: 2) Solve each inequality algebraically. d. x3 – x > 0

A: Consider the equation

Q: solve each inequality. ((x - 3)/(x + 2)) &lt; 0

A: To solve each inequality given, x-3x+2&lt;0

Q: solve each inequality. |(3x - 1)/4| &gt; 3

A: Given: 3x-14&gt;3 We know that solution of inequalityx&gt;a is given by x∈-∞,-a∪a,∞

Q: In Problem,solve each inequality

A:

Q: solve each inequality. ((x - 1)/(x - 5)) ≤ 2

A: To solve inequality x-1x-5≤2, first, take all the terms on the left side of the inequality sign. So…

Q: Solve each inequality, write the solution set as an interval or a union of intervals, then graph…

A:

Q: Solve the following inequality and graph the solution: (x – 7)(x – 10) > 0 Write the solution as a…

A: We want to find the solution for the given inequality. To find the solution region, initially find…

Q: Solve each inequality, write the solution set as an interval or a union of intervals, then graph…

A:

Q: 6メー12)22x or Ye Zat6 44 2x+6 3.

A: We first solve the inequalities then we plot the solution set in 2D.

Q: solve each inequality. |x - 3| &gt; 9

A: To solve the inequality x - 3 &gt; 9

Q: solve each inequality algebraically.

A: The fraction will be zero when the numerator is zero, so equate the numerator to 0 and solve for x…

Q: 2. Solve each inequality. a. -x < -12 3 b. -4a 2 20

A:

Q: solve each inequality and graph the solution. |x - 2| &lt; 4

A:

Q: Solve the given inequality:                         8x-2 &gt; 14

A: Given inequality is

Q: solve each inequality and graph its solution set on a number line. (3x + 2)(2x - 3) ≥ 0

A: We have to solve the inequality and graph the solution set on number line: 3x+22x-3≥0 Drawing above…

Q: solve each inequality. (x + 1)(x - 3)2 &gt; 0

A: The equation given to us is (x + 1)(x - 3)2 &gt; 0

Q: The initial cost to rent a bike in hilton head is $4. Each hour the bike is rented costs $1.75.…

A: Given: The cost to rent a bike is $1.75 per hour and a fixed charge of $4.

Q: solve each inequality and graph the solution. |x - 3| ≥ 2

A: Given inequality x-3≥2 Solve Absolute Value. x-3≥2 We know either x-3≥2 or x-3≤-2

Q: graph the solutions of each compound inequality. x &gt; -1 and x &lt; 1

A: Given the inequality x&gt;-1 and x&lt;1 In the first inequality that is x&gt;-1 the value of "x" is…

Q: Solve each inequality and graph its solution. 1) 5-5m 2 25 | ++++ %23

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve each inequality. 2) x-3x+2 so

A: The given inequality is, x2-3x+2≤0 Split the middle term as, x2-2x-x+2≤0

Q: Match each inequality on the left with its correct solution on the right. Some answer choices on the…

A:

Q: solve each inequality and graph its solution set on a number line. (x + 1)(x + 4) &lt; 0

A: (x+1)(x+4)&lt;0which meansx+1&lt;0x&lt;-1orx+4&lt;0x&lt;-4which is not possible let take…

Q: solve each problem by setting up and solving an appropriate inequality. The temperatures for a…

A: Given- The temperatures for a 24-hour period ranged between 24°F and 23°F, inclusive.  To find- The…

Q: solve by setting up and solving an appropriate equation or inequality. Together Camden and Aidan can…

A: Consider a person completes the work in x days .Then the amount of work that is completed in 1 day…

Q: solve each inequality and graph its solution set on a number line. (x + 2)(x + 1)(x - 2) &gt; 0

A: given,          x+2x+1x-2&gt;0

Q: solve each inequality. |x + 7| - 3 ≥ 4

A: x+7-3≥4 Add 3 both sides  x+7-3+3≥4+3x+7≥7 Apply absolute rule : If u≥a then u≤-a or u≥a.

Q: Solve each inequality and graph its solution. 11) -3(r+ 1) 29- 6r + -3 -2 -1 1 2 3 4 6 7

A: We can answer it as below to find the answer and plot the solution in the graph

Q: Find the solutions of the inequality by drawing appropriate graphs. State each answer rounded to two…

A: Given: 0.5x2+0.875x≤0.25 For finding solution of given inequality, we draw graph of given inequality…

Q: solve each problem by setting up and solving an appropriate equation or inequality. How many cups of…

A: How many cups of grapefruit juice must be added to 30 cups of a punch that is 8% grapefruit juice to…

Q: solve each inequality. |x - 2| &gt; 6

A: Inequality: |x-2|&gt;6We will transform the inequality into equality sign.(x-2)=6x=8x&gt;8

Q: solve each inequality and graph its solution set on a number line. (x + 2)(4x - 3) ≤ 0

A: Given inequality - x+24x-3 ≤ 0We get,x+2 ≤ 0x ≤-2        ......(1)And,4x-3 ≤ 04x ≤ 3x ≤ 34…

Q: Solve each inequality. Graph each solution. 2k2 - 7k - 15 &lt;= 0

A: Given: The inequality 2k2-7k-15≤0 To determine: Solve the given inequality &amp; graph the solution