|5x-1|<14
Note instead of 14 being greater than, it's greater than or equal to 14.
2006-11-01 04:10:05 · 9 answers · asked by kris10 1 in Science & Mathematics ➔ Mathematics
You set up two inequalities and solve each inequality separately.
Inequality one: 5x-1 <= 14 (drop the absolute value symbols)
Inequality two: 5x-1 >= -14 (drop the absolute value symbols, reverse the inequality and make the 14 negative)
By the way, you have a contradiction in your question. < is the less than sign, but you refer to it as greater than. Just a little confusing.
Hope this helps. :)
2006-11-01 04:14:51 · answer #1 · answered by SmileyGirl 4 · 0⤊ 0⤋
x<3
2006-11-01 12:18:16 · answer #2 · answered by monkey sam 2 · 0⤊ 0⤋
-3<=x<=3
2006-11-01 13:17:03 · answer #3 · answered by yupchagee 7 · 0⤊ 0⤋
X is greater than or equal to 3
2006-11-01 12:12:19 · answer #4 · answered by LiL'BiNt 3 · 0⤊ 1⤋
-2.6<= x <= 3
Because it is the absolute value, you must consider both
5x-1<14 which gives x<3
as well as the negative equivalent
1-5x<14 which gives x>-2.6
Remember that when multiplying by a negative number, the direction of the sign changes. Hence, x must be between the two limits.
2006-11-01 12:24:04 · answer #5 · answered by Robert R 2 · 0⤊ 0⤋
X>/=3 X IS GREATER THAN OR EQUAL TO 3. ADD 1 TO EACH SIDE AND THEN DIVIDE BOTH SIDES BY 5.
2006-11-01 12:19:09 · answer #6 · answered by Dawna H 2 · 0⤊ 0⤋
No, the absolute value of X is less than or equal to 3. So, it is somewhere between (including) -3 and 3.
2006-11-01 12:32:40 · answer #7 · answered by Brian S 4 · 0⤊ 0⤋
â5x - 1ââ¤14
5x - 1 ⤠14
5x - 1 + 1 ⤠14 + 1
5x ⤠15
5x / 5 ⤠15 / 5
x ⤠3
The answer is x ⤠3
- - - - - -s-
2006-11-01 12:20:46 · answer #8 · answered by SAMUEL D 7 · 0⤊ 0⤋
5x - 1 <= 14
5x <= 15
X <= 3
2006-11-01 12:11:55 · answer #9 · answered by Up_In_Smoke 2 · 0⤊ 1⤋