Division by 4:
4x ≤ 12
divide both sides by 4:
x ≤ 3
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.
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
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]).
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.
To graph a two-variable linear inequality, first convert the inequality into an equation by replacing the inequality sign with an equal sign, which gives you the boundary line. Next, graph this line using a solid line for ≤ or ≥ and a dashed line for < or >. Then, determine which side of the line to shade by testing a point not on the line (usually the origin) to see if it satisfies the inequality. Finally, shade the appropriate region to represent all the solutions to the inequality.
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.
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
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
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]).
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.
The direction of the inequality is reversed. Note that the if the inequality included "or equals" before, then it will after. 4 < 5 multiplied by -1 gives -4 > -5 5 >= 4 multiplied by -1 gives -5 <= -4
To solve the inequality 3x ≥ 12, you need to isolate x. First, divide both sides by 3 to get x ≥ 4. This means that any value of x that is greater than or equal to 4 satisfies the inequality. In interval notation, the solution is [4, ∞).
The operation is called addition.
3
The area in the inequality gives you choices. Like the number of pounds that an elevator can carry is anything less than its maximum.
Addition
division is the answer