SOLUTION: Solve the inequality. Write the solution set using interval notation and graph the solution set on a number line: 1/3 (2x-5)+5≤2/5 (x-2) .
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Question 1046987: Solve the inequality. Write the solution set using interval notation and graph the solution set on a number line: 1/3 (2x-5)+5≤2/5 (x-2) .
You can put this solution on YOUR website! 1/3 (2x-5)+5≤2/5 (x-2)
Multiply everything by 15 to clear fractions
5(2x-5)+75<= 6(x-2)
10x-25+75<=6x-12, after distributing.
4x<=-62, after collecting terms and moving them.
x<=-15.5, dividing by 4.
Check by using a number in and out of the range.
0 should not work, and (-5/3)+5 is not less than -4/5
-12 should not work, and (1/3)(-29)+5 is -4 2/3 and that is not less than (2/5)(-14) or -28/5 or -5 3/5
-16 should work, and (1/3)(-37)+5 is -7 1/3 and that is less than (2/5)(-18) which is -36/5 or -7 1/5
x<= -15.5, and it is the point and everything to the left of it on the number line.
