The value of the inequality is |x| > -1/ 4.
Inequality can be defined as a statement of an order relationship with greater than, greater than or equal to, less than, or less than or equal to between two numbers or even an algebraic expressions.
Given the inequality:
|7+8x|>5
Note that the sign | | explains modulus and absolute value which is that the value cannot be a negative.
collect like terms
|8x| > 5 - 7
Add/ subtract like terms, we have:
|8x| > -2
Make 'x' the subject from the inequality
|x| > - 2/ 8
Find the common divisor
|x| > - 1/4
The value of the inequality is |x| > -1/4
Thus, the value of the inequality |x| > -1/4
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Answer:
[tex]x > - \frac{1}{4} \: \: x < - \frac{3}{2} [/tex]
Step-by-step explanation:
[tex]1. \: 7 + 8x > 5 \\ - (7 + 8x) > 5 \\ \\ 2. \: x > - \frac{1}{4} \\ 3. \: x < - \frac{3}{2} \\ 4. \: x > - \frac{1}{4} \: \: x < - \frac{3}{2} [/tex]
