Find the solution of the linear inequaility. Express the soluti the solution set.−3x+4<10−4xThe solution set is the empty set.Choose the correct graph below.A.
Q. Find the solution of the linear inequaility. Express the soluti the solution set.−3x+4<10−4xThe solution set is the empty set.Choose the correct graph below.A.
Isolate variable x: First, we need to isolate the variable x on one side of the inequality. To do this, we can add 4x to both sides of the inequality to eliminate the x term on the right side.−3x+4x+4<10−4x+4x
Simplify inequality: Now, we simplify both sides of the inequality. x+4<10
Subtract to solve x: Next, we subtract 4 from both sides to solve for x.x+4−4<10−4
Final solution: Simplify the inequality to find the solution for x.x<6
Solution set: The solution set for the inequality is all real numbers less than 6. This means that any number less than 6 will satisfy the inequality −3x+4<10−4x.
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