answersLogoWhite

0

The inequality ( x^3 < 3 ) can be solved by finding the integer values of ( x ) that satisfy this condition. To do this, we first note that ( x^3 = 3 ) has a real solution at ( x = \sqrt[3]{3} \approx 1.442 ). The integer solutions for the inequality ( x^3 < 3 ) are thus ( x = -2, -1, 0, 1 ). Therefore, the integer solutions are ( x \in {-2, -1, 0, 1} ).

User Avatar

AnswerBot

3w ago

What else can I help you with?

Continue Learning about Math & Arithmetic

Which values are solutions to the inequality x2 9?

To solve the inequality ( x^2 &lt; 9 ), we first rewrite it as ( x^2 - 9 &lt; 0 ), which factors to ( (x - 3)(x + 3) &lt; 0 ). The critical points are ( x = -3 ) and ( x = 3 ). Analyzing the intervals, we find that the solution to the inequality is ( -3 &lt; x &lt; 3 ). Therefore, the values of ( x ) that satisfy the inequality are those in the open interval ( (-3, 3) ).


What is the least possible integer solution of the inequality 4.103x19.868?

To find the least possible integer solution of the inequality (4.10 &lt; 3x &lt; 19.86), we first solve for (x) by dividing the entire inequality by 3. This gives us (1.3667 &lt; x &lt; 6.62). The least integer greater than (1.3667) is (2). Therefore, the least possible integer solution is (2).


Will an equation with an integer coefficient always have an integer solution?

No, an equation with integer coefficients does not always have an integer solution. For example, the equation (x + 1 = 2) has an integer solution, (x = 1), but the equation (2x + 3 = 1) has no integer solution since (x = -1) is not an integer. Solutions depend on the specific equation and its constraints, and rational or real solutions may exist instead.


Does an equation with an integer coefficient always have an integer solution?

No, an equation with integer coefficients does not always have an integer solution. For example, the equation (2x + 3 = 5) has the integer solution (x = 1), but the equation (x^2 + 1 = 0) has no real solutions, let alone integer ones. The existence of integer solutions depends on the specific form and constraints of the equation.


What inequality has 3 and negative 5 as two of its solutions?

x+7 is greater than or equal to 2

Related Questions

What are the integer solutions of the inequality x 4?

4 &amp; |-4|


What are at least five inequality solutions to x-3?

x - 3 is not an inequality.


Which values are solutions to the inequality x2 9?

To solve the inequality ( x^2 &lt; 9 ), we first rewrite it as ( x^2 - 9 &lt; 0 ), which factors to ( (x - 3)(x + 3) &lt; 0 ). The critical points are ( x = -3 ) and ( x = 3 ). Analyzing the intervals, we find that the solution to the inequality is ( -3 &lt; x &lt; 3 ). Therefore, the values of ( x ) that satisfy the inequality are those in the open interval ( (-3, 3) ).


What is the least possible integer solution of the inequality 4.103x19.868?

To find the least possible integer solution of the inequality (4.10 &lt; 3x &lt; 19.86), we first solve for (x) by dividing the entire inequality by 3. This gives us (1.3667 &lt; x &lt; 6.62). The least integer greater than (1.3667) is (2). Therefore, the least possible integer solution is (2).


Will an equation with an integer coefficient always have an integer solution?

No, an equation with integer coefficients does not always have an integer solution. For example, the equation (x + 1 = 2) has an integer solution, (x = 1), but the equation (2x + 3 = 1) has no integer solution since (x = -1) is not an integer. Solutions depend on the specific equation and its constraints, and rational or real solutions may exist instead.


What are the solutions to the inequality (x-3)(x plus 5)o?

If you mean (x-3)(x+5) = 0 then x = 3 or x = -5


Find all integer values of x that make the equation or inequality true x2 equals 9?

that would be limited to 3 and -3 for values of x


Does an equation with an integer coefficient always have an integer solution?

No, an equation with integer coefficients does not always have an integer solution. For example, the equation (2x + 3 = 5) has the integer solution (x = 1), but the equation (x^2 + 1 = 0) has no real solutions, let alone integer ones. The existence of integer solutions depends on the specific form and constraints of the equation.


What inequality has 3 and negative 5 as two of its solutions?

x+7 is greater than or equal to 2


What are Solution of an inequality?

The solution of an inequality is a set of values that satisfy the inequality condition. For example, in the inequality ( x &gt; 3 ), the solution includes all numbers greater than 3, such as 4, 5, or any number approaching infinity. Solutions can be expressed as intervals, such as ( (3, \infty) ), or as a number line representation. These solutions help identify the range of values that make the inequality true.


Which is true of the infinite solutions of the inequality X0?

The statement &quot;X0&quot; is unclear, but if you are referring to an inequality such as x &gt; 0 or x ≤ 0, it indicates that there are infinite solutions within the specified range. For instance, if the inequality is x &gt; 0, the solutions include all positive real numbers. These solutions can be represented on a number line or in interval notation, such as (0, ∞) for x &gt; 0.


Which identifies all the integer solutions of x equals 14?

The equation ( x = 14 ) identifies a single integer solution, which is ( x = 14 ) itself. Since the equation specifies that ( x ) is equal to 14, there are no other integer solutions. Therefore, the only integer solution is ( {14} ).