David W. answered • 01/10/19
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(note: WyzAnt doesn't keep spaces)
Let x be the number
"Negative ten is no less than two times a number plus 14"
......-10................≥...............2.....*.........x...........+.......14
-10 ≥ 2x + 14
-24 ≥ 2x [subtract 14 from both sides]
2x ≤ -24 [read right to left]
x ≤ -12 [divide both sides by 2]
Check:
Let x = -13 (It is ≥ -12)
Is this true: -10 ≥ 2(-13) + 14 ?
-10 ≥ -26 + 14 ?
-10 ≥ -14 ?yes
Let x = -11 (it is not ≥ -12)
Is this false:: -10 ≥ 2(-11) + 14 ?
-10 ≥ -22 + 14 ?
-10 ≥ -8 ?yes
David W.
"x ≤ -12" is correct. To check, we select a value LESS THAN (-12) and a value GREATER THEN (-12). The two "Let" statements should be "Let x = -13 (It is NOT ≥ -12)" and "Let x = -11 (it IS ≥ -12)". ... Please try x=0 (which IS ≥ -12) to see that "Negative ten is no less than two times a number plus 14" is NOT TRUE because (-10) < 14.
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02/15/22
Olivia S.
It wouldn't be greater than or equal to, wouldn't it be02/15/22