Final answer:
To solve the given inequality -4p-(5p-4) <= 7p+10+3p, we simplify and collect terms on both sides. The solution is p >= -6/19. In Algebra, inequality is a mathematical statement that shows the relation between two expressions using the inequality symbol.
Step-by-step explanation:
To solve the given inequality, we will simplify and collect terms on both sides. Starting with the left side of the inequality, we have -4p-(5p-4). Simplifying this expression, we get -9p+4. Moving to the right side of the inequality, we have 7p+10+3p, which simplifies to 10p+10. Combining both sides of the inequality, we have -9p+4 <= 10p+10.
To solve for p, we will isolate the variable on one side of the inequality. Subtracting 10p from both sides, we get -19p+4 <= 10. Next, subtracting 4 from both sides, we get -19p <= 6. Finally, dividing both sides by -19 (remembering to flip the inequality symbol since we are dividing by a negative number), we get p >= -6/19.
Therefore, the solution to the inequality is p >= -6/19.
In Algebra, inequality is a mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa. If the relationship between two algebraic expressions is defined using the inequality symbols, then it is called literal inequalities.
Definition: “If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.”
For example, x>3 (x should be greater than 3)
Open Sentence: The inequality is said to be an open sentence if it has only one variable.