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Which numbers belong to the solution set of the inequality x over 8 is greater than or equal too?
To solve the inequality ( \frac{x}{8} \geq 0 ), we can multiply both sides by 8 (since 8 is positive, the direction of the inequality remains unchanged). This gives us ( x \geq 0 ). Therefore, the solution set includes all numbers greater than or equal to zero, which can be expressed as ( [0, \infty) ).
What is -3(r-4)greater than equal to 0?
To solve the inequality (-3(r - 4) \geq 0), first divide both sides by -3, which reverses the inequality sign: (r - 4 \leq 0). Then, adding 4 to both sides gives (r \leq 4). Thus, the solution to the inequality is (r) must be less than or equal to 4.
Which graph shows the solution to the inequality -3x-720?
To graph the solution to the inequality (-3x - 720 < 0), you first need to solve for (x). Rearranging the inequality gives (x > -240). On the graph, this means you would draw a number line, shade to the right of (-240), and place an open circle at (-240) to indicate that (-240) is not included in the solution.
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 < 3x < 19.86), we first solve for (x) by dividing the entire inequality by 3. This gives us (1.3667 < x < 6.62). The least integer greater than (1.3667) is (2). Therefore, the least possible integer solution is (2).
What is the greatest possible integer solution of the inequality 8.904x 18.037?
To solve the inequality ( 8.904x < 18.037 ), we first isolate ( x ) by dividing both sides by 8.904. This gives us ( x < \frac{18.037}{8.904} ), which approximately equals 2.022. The greatest possible integer solution is therefore ( x = 2 ).
What operation gives the solution to the inequality 4x 12?
An inequality requires an inequality sign, usually "less than", "less-than-or-equal", "greater than", or "greater than or equal". Assuming one of these inequality signs is between the "4x" and the "12", for example: 4x < 12, just divide both sides by 4. Just as when you solve equations, the idea is to isolate the variable on one side.
Which numbers belong to the solution set of the inequality x over 8 is greater than or equal too?
To solve the inequality ( \frac{x}{8} \geq 0 ), we can multiply both sides by 8 (since 8 is positive, the direction of the inequality remains unchanged). This gives us ( x \geq 0 ). Therefore, the solution set includes all numbers greater than or equal to zero, which can be expressed as ( [0, \infty) ).
What is -3(r-4)greater than equal to 0?
To solve the inequality (-3(r - 4) \geq 0), first divide both sides by -3, which reverses the inequality sign: (r - 4 \leq 0). Then, adding 4 to both sides gives (r \leq 4). Thus, the solution to the inequality is (r) must be less than or equal to 4.
Which graph shows the solution to the inequality -3x-720?
To graph the solution to the inequality (-3x - 720 < 0), you first need to solve for (x). Rearranging the inequality gives (x > -240). On the graph, this means you would draw a number line, shade to the right of (-240), and place an open circle at (-240) to indicate that (-240) is not included in the solution.
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 < 3x < 19.86), we first solve for (x) by dividing the entire inequality by 3. This gives us (1.3667 < x < 6.62). The least integer greater than (1.3667) is (2). Therefore, the least possible integer solution is (2).
What is the solution to the inequality below x2 is greater than 100?
To solve the inequality ( x^2 > 100 ), we first find the critical points by solving the equation ( x^2 = 100 ), which gives ( x = 10 ) and ( x = -10 ). The solution to the inequality occurs when ( x < -10 ) or ( x > 10 ). Thus, the solution set is ( x \in (-\infty, -10) \cup (10, \infty) ).
A substance with equal numbers of H and OH ions is an alkaline solution?
No, only exces of OH- gives you an alkaline solution and exces of H+ gives you an acidic solution. When they are EQUAL then the solution (water) is NEUTRAL, pH= 7.0
What is the greatest possible integer solution of the inequality 8.904x 18.037?
To solve the inequality ( 8.904x < 18.037 ), we first isolate ( x ) by dividing both sides by 8.904. This gives us ( x < \frac{18.037}{8.904} ), which approximately equals 2.022. The greatest possible integer solution is therefore ( x = 2 ).
Is the solution to a quadratic inequality in one variable always a compound inequality?
Yes - except in extreme cases. It can be the whole of the Real Numbers: eg x2 > -3 It can be a single point eg x2 ≤ 0 gives x = 0
What is the solution set for 6p less than or equal to 296?
To solve the inequality (6p \leq 296), divide both sides by 6. This gives (p \leq \frac{296}{6}), which simplifies to (p \leq 49.33). Therefore, the solution set is all real numbers (p) such that (p \leq 49.33). In interval notation, this can be expressed as ((-\infty, 49.33]).
What is the solution to the inequality below x squared and gt 81?
The inequality ( x^2 > 81 ) can be solved by taking the square root of both sides. This gives ( x > 9 ) or ( x < -9 ). Therefore, the solution set is ( x < -9 ) or ( x > 9 ). In interval notation, this is expressed as ( (-\infty, -9) \cup (9, \infty) ).
Which ordered pair could be a solution to this inequality 4y -3x - 2?
To determine which ordered pair could be a solution to the inequality (4y - 3x - 2 > 0), you can substitute the values of the ordered pair into the inequality. For example, if we take the ordered pair (1, 2), substituting gives (4(2) - 3(1) - 2 = 8 - 3 - 2 = 3), which is greater than 0, thus (1, 2) is a solution. You can test other pairs similarly to find more solutions.
