p is less than 12.
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You don't. There's no question there, and nothing that needs solving. "16 less than x squared" is written as (x2 - 16)
8x = 16 is NOT an 'Inequality#'. However, 8x > 16 is an inequality as is 8x > 16 . NB Treat inequalities as an 'equals'. except for negative numbers or fractions. Hence 8x > 16 Divide both sides by '8' x > 2 Similarly 8x < 16 x < 2
That's not an inequality; an inequality needs a "greater than" or a "less than" sign. Those must have gotten lost when you typed the title. Anyway, basically you are supposed to replace the numbers one by one in the inequality, do the calculations, and see whether the resulting statement is true or not.
The equation 7x-12 is less than 4x plus 36 means just what it says7x - 12 less than 4x + 36To solve this, treat it like ordinary algebra and solve for x, replacing the equals sign with the less than sign. Remember that if you multiply or divide by a negative number, then the less than sign flips over and becomes the greater than sign.7x - 12 less than 4x + 367x less than 4x + 487x - 4x less than 483x less than 48x less than 16
3x - 7 ≤ 9 "Seven less than" means that you subtract seven from the answer. "Three times a number" means that you multiply it. "At most" means that this is the greatest number that it can be, which is, in this case, 9. To solve this, you apply the principle rules of algebra to determine x. 3x ≤ 9 + 7 3x ≤ 16 x ≤ 16/3