What is |x+3|<=-x+1 ?

The solution to |x+3|<=-x+1 is x<=-1

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|x+3|<=-x+1

∣ x + 3 ∣ \leq - x + 1

x \leq - 1

Interval Notation

(- \infty, - 1]

Solution steps

∣ x + 3 ∣ \leq - x + 1

Find positive and negative intervals

x < - 3, x \geq - 3

Solve the inequality for each interval

x < - 3 or - 3 \leq x \leq - 1

Merge Overlapping Intervals

x \leq - 1

54 + 24

x^{2} + 1 0^{2} = 2 6^{2}

2 x + 1 > 3

\frac{( 3 x y ) ^{2} ( 2 x ^{4} y ^{3} )}{6 x ^{8} y}

\frac{12}{5 y ^{2}} - \frac{2}{5 yz}