Which Number Line Represents the Solution Set for the Inequality

Which is a correct first step in solving 5 - 2x 8x - 3. Tap card to see definition.

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A Solve 5x 12 17 b Solve the inequality 32y 1.

. What value of x is in the solution set of -5x - 15 10 20x. Represent Inequalities Using Interval Notation. The difference between three times a number and eight equals negative five.

For instance look at the top number line x 3. Now an inequality uses a greater than less than symbol and all that we have to do to graph an inequality is find the the number 3 in this case and color in everything above or below it. Which number line represents the solution set for the inequality 2x - 6 6 x - 2 8.

B Solve the inequality 2p - 7 11. The number N of bacteria in a refrigerated food is given by NT 10T2 - 20T 600 2 T 20 where T is the temperature of the food in degrees Celsius. With this convention sets are built with parentheses or brackets each having a distinct meaning.

Since x is a whole number Solution set 01234 Its number line representation is. The solutions of an inequality can be represented on a number line which is shown in the following examples. Which number line represents the solution set for the inequality -12 x 4.

In solving the inequality -3 you would need to flip over the inequality symbol. X -12 or -05. Represent the solution set of inequality x 4 8 where x is a whole number.

3 Show answers Another. The number line represents the solution set of an inequality. 5 10x - 3.

2x - 6x - 6 6x - 6x - 4simplify. -3 x 1 x is an integer a Write down all the possible values of x. Subtract 3 from both sides.

A i Solve the inequality 5x - 7 8 ii On the number line represent the solution set to part i. C Solve the inequality 4t - 5 11 4. Decide if it needs an open circle or a closed circle.

N is an integer such that -4 2n 3. Which number line represents the solution to 25 - 12x 65 - 32x. Find the bacteria count after 05 hour.

What value of x is in the solution set of 4x - 12 16 8x. Which number line represents the solution set for the inequality 2x - 6 6x - 2 8. Tap again to see term.

-4x 2divide both sides by -4 change the inequality sign. The axis of symmetry for a quadratic equation can be found using the formula x -b2d where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane. 24x - 3 -33x 5x.

-4x - 6 6 -4 6simplify. When the food is removed from refrigeration the temperature of the food is given by Tt 3t 2 0 t 6 where t is the time in hours. Which is a correct first step in solving 5 - 2x 8x - 3.

Y 4. This inequality holds for any point on the bold black part of the number line. Which is a correct first step in solving the inequality -4 2x - 1 5 - 3x.

Another commonly used and arguably the most concise method for describing inequalities and solutions to inequalities is called interval notation. -4x - 6 -4 add 6 to both sides. We just put a little dot where the 3 is right.

With this convention sets are built with parentheses or brackets each having a distinct meaningThe solutions to latexxgeq 4latex are represented as latexleft4infty. Or would need an open circle leq or geq would need a closed circle. Indicate the solution set with a straight line to the left hand side or right hand side of the number or with a straight line between the circles.

Terms in this set 10 Solve the inequality. Amelia Luis Shauna and Clarence used different approaches to solve the inequality72b 65 48b - 81. Identify the values that needs to be indicated on the number line.

X -24. When the equation is solved for a such that b is the numerator of the resulting fraction what is the denominator of the fraction. Which represents the solution set to the inequality -154x145-25x1 C.

Click card to see definition. Click again to see term. In order to represent inequalities on a number line.

Subtracting 4 from both sides of given inequality x 4. Graph the intersection of the solution sets and write the intersection in interval notation. B Write down the possible values of n.

3 n - 8 -5. To solve the inequality -3 you would divide each side of the inequality by -3. The solutions to x 4 x 4 are represented as 4 4.

14 x 30 60 x. Another commonly used and arguably the most concise method for describing inequalities and solutions to inequalities is called interval notation. Now dividing both sides by -2 we have Rightarrow x ge 2 Hence the solution set lies between 2 le x 2x in R Therefore the values for x are 2 101.

Distribute -4 to get -8x 4 5 - 3x. 2x - 6 6x - 4subtract 6x from both sides. Correct answer to the question Which number line represents the solution set for the inequality 38 - 4x 6x - 5.

Which number line represents the solution set for the inequality 38 - 4x 6x - 5-5.

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