Check your Understanding
Direction: Answer the following truthfully.
1. What will happen when both sides of the inequality are multiplied or divided
by a negative number?
2. What must be the reason for this equation, x + 5 = 1 which became x = -4?
3. The absolute value of a number is the distance of that number from zero. Cite a situation in your life
that you need to distance from and explain why.
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Answers & Comments
Answer:
1. If both sides are multiplied by negative, the expressions of all values and variables from each side will be reversed and the
2. When you transfer values from one side to the other, the sign will be reversed. So when 5 was transposed to the right, it becomes negative 5.
3. When we travel I use the phone's GPS that will automatically record the absolute value of the distance we've travelled.
Answer:
1.Sometimes, it is necessary to multiply an inequality by a negative number in order to solve the inequality. Compared to multiplying inequalities by positive numbers, there's one extra step. It's called flipping the inequality sign. Let's see what exactly this looks like.
2.For example, the equation x5 − 1 = 0 has one root x = 1, but the remaining four roots can be found just by extracting square roots, not fourth roots as ...
3.The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.