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-1.5x\leq 2.6+3.4
Add 3.4 to both sides.
-1.5x\leq 6
Add 2.6 and 3.4 to get 6.
x\geq \frac{6}{-1.5}
Divide both sides by -1.5. Since -1.5 is negative, the inequality direction is changed.
x\geq \frac{60}{-15}
Expand \frac{6}{-1.5} by multiplying both numerator and the denominator by 10.
x\geq -4
Divide 60 by -15 to get -4.